Fernanda Botelho - Academia.edu (original) (raw)
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Papers by Fernanda Botelho
This paper deals with the structure of contractive and bi‐contractive projec‐ tions on spaces of ... more This paper deals with the structure of contractive and bi‐contractive projec‐ tions on spaces of continuous functions defined on a compact and Hausdorff topological space.
Bulletin of the London Mathematical Society, 2015
Contemporary Mathematics, 2019
Illinois Journal of Mathematics, 2014
Indian Journal of Pure and Applied Mathematics
Acta Scientiarum Mathematicarum, 2018
Concrete Operators, 2021
Given Banach spaces X and Y, we ask about the dual space of the (X, Y). This paper surveys resul... more Given Banach spaces X and Y, we ask about the dual space of the (X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of assumptions on X and Y, the answer can best be given as the projective tensor product of X ** and Y *.
Abstract. The isometry group of the tensor product of two symmetric sequences spaces, not isometr... more Abstract. The isometry group of the tensor product of two symmetric sequences spaces, not isometric to a Hilbert space, is algebraically reflexive provided that the tensor product supports only dyadic surjective isometries. 1.
Boolean functions are discrete-valued functions that provide iterative models in different areas ... more Boolean functions are discrete-valued functions that provide iterative models in different areas of science. They appear in theoretical computer science as automata networks, cellular, and threshold automata [2–4], and also in biomathematics as input-output functions of perceptrons and Hopfield networks [1, 5, 10]. We can also find them in physics as discrete models for disordered matter such as the spin glass problem [6]. In this paper we consider a class of n-valued boolean functions, designated hard-threshold, that represent the activity of discrete recurrent neural network (NN) models. RecurrentNNs are mathematical models consisting of a large number of parallel-operating and interconnected processing units. Information is encoded as a binary sequence (designated state vector) and is distributed among the units composing the network. This permits a high speed more economical machine implementation and avoids the expensive maintenance of a central database unit [12]. The activity...
Linear Algebra and its Applications
Advances in Operator Theory
Journal of Dynamics and Differential Equation, 2009
Journal of Dynamics and Differential Equations, 2009
Houston Journal of Mathematics, 2010
Información del artículo Algebraic reflexivity of tensor product spaces.
Abstract: We study systems of differential equations in B(H), the Banach space of bounded linear ... more Abstract: We study systems of differential equations in B(H), the Banach space of bounded linear operators on a separable complex Hilbert space H, equipped with the standard operator norm. The systems considered in this paper are infinite dimensional generalizations of ...
Rocky Mountain Journal of Mathematics, Feb 1, 2010
Banach Journal of Mathematical Analysis, 2015
This paper deals with the structure of contractive and bi‐contractive projec‐ tions on spaces of ... more This paper deals with the structure of contractive and bi‐contractive projec‐ tions on spaces of continuous functions defined on a compact and Hausdorff topological space.
Bulletin of the London Mathematical Society, 2015
Contemporary Mathematics, 2019
Illinois Journal of Mathematics, 2014
Indian Journal of Pure and Applied Mathematics
Acta Scientiarum Mathematicarum, 2018
Concrete Operators, 2021
Given Banach spaces X and Y, we ask about the dual space of the (X, Y). This paper surveys resul... more Given Banach spaces X and Y, we ask about the dual space of the (X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of assumptions on X and Y, the answer can best be given as the projective tensor product of X ** and Y *.
Abstract. The isometry group of the tensor product of two symmetric sequences spaces, not isometr... more Abstract. The isometry group of the tensor product of two symmetric sequences spaces, not isometric to a Hilbert space, is algebraically reflexive provided that the tensor product supports only dyadic surjective isometries. 1.
Boolean functions are discrete-valued functions that provide iterative models in different areas ... more Boolean functions are discrete-valued functions that provide iterative models in different areas of science. They appear in theoretical computer science as automata networks, cellular, and threshold automata [2–4], and also in biomathematics as input-output functions of perceptrons and Hopfield networks [1, 5, 10]. We can also find them in physics as discrete models for disordered matter such as the spin glass problem [6]. In this paper we consider a class of n-valued boolean functions, designated hard-threshold, that represent the activity of discrete recurrent neural network (NN) models. RecurrentNNs are mathematical models consisting of a large number of parallel-operating and interconnected processing units. Information is encoded as a binary sequence (designated state vector) and is distributed among the units composing the network. This permits a high speed more economical machine implementation and avoids the expensive maintenance of a central database unit [12]. The activity...
Linear Algebra and its Applications
Advances in Operator Theory
Journal of Dynamics and Differential Equation, 2009
Journal of Dynamics and Differential Equations, 2009
Houston Journal of Mathematics, 2010
Información del artículo Algebraic reflexivity of tensor product spaces.
Abstract: We study systems of differential equations in B(H), the Banach space of bounded linear ... more Abstract: We study systems of differential equations in B(H), the Banach space of bounded linear operators on a separable complex Hilbert space H, equipped with the standard operator norm. The systems considered in this paper are infinite dimensional generalizations of ...
Rocky Mountain Journal of Mathematics, Feb 1, 2010
Banach Journal of Mathematical Analysis, 2015