J. Esterle | Université de Bordeaux (original) (raw)
Papers by J. Esterle
St. Petersburg Mathematical Journal, 2016
We discuss the Haar negligibility of the positive cone associated with a basic sequence in a sepa... more We discuss the Haar negligibility of the positive cone associated with a basic sequence in a separable Banach space. In particular, we show that up to equivalence, the canonical basis of c 0 is the only normalized subsymmetric unconditional basic sequence whose positive cone is not Haar null, and the only normalized unconditional basic sequence whose positive cone contains a translate of every compact set. We also show that an unconditional basic sequence with a non-Haar null positive cone has to be c 0-saturated in a very strong sense, and that every quotient of the space generated by such a sequence is c 0-saturated.
This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a... more This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a generator A of an operator semigroup defined on a sector; here F is given as the Fourier--Borel transform of an analytic functional. The results are linked to the existence of an identity element in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
This is a survey paper concerned with strongly continuous semigroups in a Banach algebra (often i... more This is a survey paper concerned with strongly continuous semigroups in a Banach algebra (often itself simply the algebra of bounded linear operators on a Banach space). These are defined either on (0,∞) or on a sector in the complex plane, in which case they are supposed analytic. However, the semigroups are not assumed to be strongly continuous at 0. The results in this survey, beginning with classical theorems of Beurling, Kato and Neuberger and concluding with recent work by the authors, are of the nature of "0-1" laws, indicating that the quantitative behaviour of the semigroup at the origin provides additional qualitative information, such as uniform continuity or analyticity.
This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a... more This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a generator A of an operator semigroup defined on the (strictly) positive real line; here F is given as the Laplace transform of a measure or distribution. The results are linked to the existence of an identity element or an exhaustive sequence of idempotents in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
St Petersburg Mathematical Journal, 2016
We discuss the Haar negligibility of the positive cone associated with a basic sequence in a sepa... more We discuss the Haar negligibility of the positive cone associated with a basic sequence in a separable Banach space. In particular, we show that up to equivalence, the canonical basis of c0 is the only normalized subsymmetric unconditional basic sequence whose positive cone is not Haar null, and the only normalized unconditional basic sequence whose positive cone contains a translate of every compact set. We also show that an unconditional basic sequence with a non–Haar null positive cone has to be c0-saturated in a very strong sense, and that every quotient of the space generated by such a sequence is c0-saturated.
Journal of Functional Analysis, 2018
Australian Journal of Earth Sciences, 2019
Abstract The basal succession of the Condamine Valley, which overlays the boundary between the Su... more Abstract The basal succession of the Condamine Valley, which overlays the boundary between the Surat and Clarence-Moreton basins (eastern Australia), contains a clay-rich horizon ‘the Transition Zone’ that marks a pronounced unconformity between the Jurassic Walloon Coal Measures and the Quaternary Condamine Alluvium. This paper provides insights into the tectonic and drainage evolution of the Condamine Valley through integrated analysis of U–Pb ages of detrital zircon from three samples (494 concordant analyses), stable oxygen isotope analysis on eight authigenic clay samples, X-ray fluorescence of primary and trace elements, and hyperspectral mineral analysis from two drill cores (Lone Pine 17 and Daandine 164). The Transition Zone is interpreted to consist of both weathered Jurassic sediments and Cenozoic clay deposits. Two sequential cycles of erosion, deposition and pedogenesis, related to geomorphological and climatic conditions are recognised. Distinctive oxygen isotope signatures of the two weathering fronts demonstrated an initial Early Cretaceous phase (δ18O = 11.9–15.7‰ VSMOW) associated with laterisation and possible uplift, followed by Paleogene (δ18O = 16.4–17.3‰ VSMOW) silcretisation of reworked Jurassic sediments. Detrital zircon geochronology yielded Jurassic maximum constraints for the age of deposition of three samples that are indistinguishable within error, the oldest of which (163 ± 8 Ma from the lateritic profile) corresponds to the age of the underlying Walloon Coal Measures. The two overlaying samples from a silcrete profile and granular alluvium yielded overlapping yet younger ages of 150 ± 6 Ma and 156 ± 9 Ma, respectively. Vitrinite reflectance used as a proxy for the thermal condition of the coal strata enabled an estimated 2–3 km of burial and subsequent (likely Early Cretaceous) uplift. Geochemical insights from the Condamine Valley correspond to broad-scale climatic and tectonic conditions, suggesting that ‘transition zone equivalents’ and corresponding groundwater dynamics may occur in similar sedimentary settings throughout eastern Australia.
Annales scientifiques de l'École normale supérieure, 1996
Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras Annale... more Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras Annales scientifiques de l'É.N.S. 4 e série, tome 29, n o 5 (1996), p. 539-582 <http://www.numdam.org/item?id=ASENS_1996_4_29_5_539_0> © Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1996, tous droits réservés. L'accès aux archives de la revue « Annales scientifiques de l'É.N.S. » (http://www. elsevier.com/locate/ansens) implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/
Integral Equations and Operator Theory, 2016
Journal of Functional Analysis, 2015
This paper provides sharp lower estimates near the origin for the functional calculus F (−uA) of ... more This paper provides sharp lower estimates near the origin for the functional calculus F (−uA) of a generator A of an operator semigroup defined on the (strictly) positive real line; here F is given as the Laplace transform of a measure or distribution. The results are linked to the existence of an identity element or an exhaustive sequence of idempotents in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
Mathematical Proceedings of the Royal Irish Academy, 2012
Let K be an infinite compact space, let C(K) be the algebra of continuous complex-valued function... more Let K be an infinite compact space, let C(K) be the algebra of continuous complex-valued functions of K, let F be a well-ordered chain of nonmaximal prime ideals of C(K), let I F be the smallest element of F and let M F be the unique maximal ideal of C(K) containing the elements of F. Assuming the continuum hypothesis, we show that if |C(K)/I F | = 2 ℵ0 , and if there exists a sequence (G n) n≥1 of subsets of F ∪ {M F } stable under unions such that F ∪ {M F } = ∪ n≥1 G n , then there exists a discontinuous algebra norm p on C(K) such that the set of all nonmaximal prime ideals of C(K) which are closed with respect to p equals F .
Proceedings of the American Mathematical Society, 1986
Lecture Notes in Mathematics, 1983
Without Abstract
Lecture Notes in Mathematics, 1983
Bulletin of the American Mathematical Society, 1977
Diseases of the nervous system, 1966
The Michigan Mathematical Journal, 1987
Proceedings of the London Mathematical Society, 1978
St. Petersburg Mathematical Journal, 2016
We discuss the Haar negligibility of the positive cone associated with a basic sequence in a sepa... more We discuss the Haar negligibility of the positive cone associated with a basic sequence in a separable Banach space. In particular, we show that up to equivalence, the canonical basis of c 0 is the only normalized subsymmetric unconditional basic sequence whose positive cone is not Haar null, and the only normalized unconditional basic sequence whose positive cone contains a translate of every compact set. We also show that an unconditional basic sequence with a non-Haar null positive cone has to be c 0-saturated in a very strong sense, and that every quotient of the space generated by such a sequence is c 0-saturated.
This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a... more This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a generator A of an operator semigroup defined on a sector; here F is given as the Fourier--Borel transform of an analytic functional. The results are linked to the existence of an identity element in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
This is a survey paper concerned with strongly continuous semigroups in a Banach algebra (often i... more This is a survey paper concerned with strongly continuous semigroups in a Banach algebra (often itself simply the algebra of bounded linear operators on a Banach space). These are defined either on (0,∞) or on a sector in the complex plane, in which case they are supposed analytic. However, the semigroups are not assumed to be strongly continuous at 0. The results in this survey, beginning with classical theorems of Beurling, Kato and Neuberger and concluding with recent work by the authors, are of the nature of "0-1" laws, indicating that the quantitative behaviour of the semigroup at the origin provides additional qualitative information, such as uniform continuity or analyticity.
This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a... more This paper provides sharp lower estimates near the origin for the functional calculus F(-uA) of a generator A of an operator semigroup defined on the (strictly) positive real line; here F is given as the Laplace transform of a measure or distribution. The results are linked to the existence of an identity element or an exhaustive sequence of idempotents in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
St Petersburg Mathematical Journal, 2016
We discuss the Haar negligibility of the positive cone associated with a basic sequence in a sepa... more We discuss the Haar negligibility of the positive cone associated with a basic sequence in a separable Banach space. In particular, we show that up to equivalence, the canonical basis of c0 is the only normalized subsymmetric unconditional basic sequence whose positive cone is not Haar null, and the only normalized unconditional basic sequence whose positive cone contains a translate of every compact set. We also show that an unconditional basic sequence with a non–Haar null positive cone has to be c0-saturated in a very strong sense, and that every quotient of the space generated by such a sequence is c0-saturated.
Journal of Functional Analysis, 2018
Australian Journal of Earth Sciences, 2019
Abstract The basal succession of the Condamine Valley, which overlays the boundary between the Su... more Abstract The basal succession of the Condamine Valley, which overlays the boundary between the Surat and Clarence-Moreton basins (eastern Australia), contains a clay-rich horizon ‘the Transition Zone’ that marks a pronounced unconformity between the Jurassic Walloon Coal Measures and the Quaternary Condamine Alluvium. This paper provides insights into the tectonic and drainage evolution of the Condamine Valley through integrated analysis of U–Pb ages of detrital zircon from three samples (494 concordant analyses), stable oxygen isotope analysis on eight authigenic clay samples, X-ray fluorescence of primary and trace elements, and hyperspectral mineral analysis from two drill cores (Lone Pine 17 and Daandine 164). The Transition Zone is interpreted to consist of both weathered Jurassic sediments and Cenozoic clay deposits. Two sequential cycles of erosion, deposition and pedogenesis, related to geomorphological and climatic conditions are recognised. Distinctive oxygen isotope signatures of the two weathering fronts demonstrated an initial Early Cretaceous phase (δ18O = 11.9–15.7‰ VSMOW) associated with laterisation and possible uplift, followed by Paleogene (δ18O = 16.4–17.3‰ VSMOW) silcretisation of reworked Jurassic sediments. Detrital zircon geochronology yielded Jurassic maximum constraints for the age of deposition of three samples that are indistinguishable within error, the oldest of which (163 ± 8 Ma from the lateritic profile) corresponds to the age of the underlying Walloon Coal Measures. The two overlaying samples from a silcrete profile and granular alluvium yielded overlapping yet younger ages of 150 ± 6 Ma and 156 ± 9 Ma, respectively. Vitrinite reflectance used as a proxy for the thermal condition of the coal strata enabled an estimated 2–3 km of burial and subsequent (likely Early Cretaceous) uplift. Geochemical insights from the Condamine Valley correspond to broad-scale climatic and tectonic conditions, suggesting that ‘transition zone equivalents’ and corresponding groundwater dynamics may occur in similar sedimentary settings throughout eastern Australia.
Annales scientifiques de l'École normale supérieure, 1996
Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras Annale... more Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras Annales scientifiques de l'É.N.S. 4 e série, tome 29, n o 5 (1996), p. 539-582 <http://www.numdam.org/item?id=ASENS_1996_4_29_5_539_0> © Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1996, tous droits réservés. L'accès aux archives de la revue « Annales scientifiques de l'É.N.S. » (http://www. elsevier.com/locate/ansens) implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/
Integral Equations and Operator Theory, 2016
Journal of Functional Analysis, 2015
This paper provides sharp lower estimates near the origin for the functional calculus F (−uA) of ... more This paper provides sharp lower estimates near the origin for the functional calculus F (−uA) of a generator A of an operator semigroup defined on the (strictly) positive real line; here F is given as the Laplace transform of a measure or distribution. The results are linked to the existence of an identity element or an exhaustive sequence of idempotents in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.
Mathematical Proceedings of the Royal Irish Academy, 2012
Let K be an infinite compact space, let C(K) be the algebra of continuous complex-valued function... more Let K be an infinite compact space, let C(K) be the algebra of continuous complex-valued functions of K, let F be a well-ordered chain of nonmaximal prime ideals of C(K), let I F be the smallest element of F and let M F be the unique maximal ideal of C(K) containing the elements of F. Assuming the continuum hypothesis, we show that if |C(K)/I F | = 2 ℵ0 , and if there exists a sequence (G n) n≥1 of subsets of F ∪ {M F } stable under unions such that F ∪ {M F } = ∪ n≥1 G n , then there exists a discontinuous algebra norm p on C(K) such that the set of all nonmaximal prime ideals of C(K) which are closed with respect to p equals F .
Proceedings of the American Mathematical Society, 1986
Lecture Notes in Mathematics, 1983
Without Abstract
Lecture Notes in Mathematics, 1983
Bulletin of the American Mathematical Society, 1977
Diseases of the nervous system, 1966
The Michigan Mathematical Journal, 1987
Proceedings of the London Mathematical Society, 1978