wang jian | XI'AN JIAO TONG UNIVERSITY (original) (raw)
Address: Linyi, Shandong, China
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Papers by wang jian
Journal of Mathematical Analysis and Applications, 2001
This paper contains several generalizations of the Mazur-Ulam isometric theorem in F * -spaces wh... more This paper contains several generalizations of the Mazur-Ulam isometric theorem in F * -spaces which are not assumed to be locally bounded. Let X and Y be two real F * -spaces, and let X be locally pseudoconvex or δ-midpoint bounded. Assume that a operator T maps X onto Y in a δ-locally 1/2 i -isometric manner for all i ∈ 0 ∪ . Then T is affine. In addition, we give the sufficient conditions of a mapping between two topological vector spaces being affine.
Journal of Mathematical Analysis and Applications, 2001
In this paper we study the Hyers–Ulam–Rassias stability theory by considering the cases where the... more In this paper we study the Hyers–Ulam–Rassias stability theory by considering the cases where the approximate remainder φ is defined bywhere (G, ∗ ) is a certain kind of algebraic system, E is a real or complex Hausdorff topological vector space, and f, g, h are mappings from G into E. We prove theorems for the Hyers–Ulam–Rassias stability of the above three kinds of functional equations and obtain the corresponding error formulas.
Holistic Holistic Holistic Holistic thinking thinking thinking thinking is is is is an an an an i... more Holistic Holistic Holistic Holistic thinking thinking thinking thinking is is is is an an an an important important important important thinking thinking thinking thinking way way way way of of of of current current current current scientific scientific scientific scientific development. development. development. development. It It It It is is is is continually continually continually continually developed developed developed developed with with with with flourishing flourishing flourishing flourishing of of of of holism, holism, holism, holism, systematic systematic systematic systematic science science science science and and and and complexity complexity complexity complexity theory. theory. theory. theory. It It It It is is is is far far far far from from from from enough enough enough enough the the the the study study study study of of of of academic academic academic academic circles circles circles circles on on on on its its its its theoretical theoretical theoretical theoretical system, system, system, system, and and and and an an an an automatic automatic automatic automatic condition condition condition condition exists exists exists exists in in in in some some some some aspects. aspects. aspects. aspects. This This This This article article article article is is is is going going going going to to to to comment comment comment comment and and and and analyze analyze analyze analyze several several several several important important important important aspects aspects aspects aspects in in in in theoretical theoretical theoretical theoretical establishment establishment establishment establishment of of of of holistic holistic holistic holistic thinking. thinking. thinking. thinking.
Journal of Mathematical Analysis and Applications, 2001
This paper contains several generalizations of the Mazur-Ulam isometric theorem in F * -spaces wh... more This paper contains several generalizations of the Mazur-Ulam isometric theorem in F * -spaces which are not assumed to be locally bounded. Let X and Y be two real F * -spaces, and let X be locally pseudoconvex or δ-midpoint bounded. Assume that a operator T maps X onto Y in a δ-locally 1/2 i -isometric manner for all i ∈ 0 ∪ . Then T is affine. In addition, we give the sufficient conditions of a mapping between two topological vector spaces being affine.
Journal of Mathematical Analysis and Applications, 2001
In this paper we study the Hyers–Ulam–Rassias stability theory by considering the cases where the... more In this paper we study the Hyers–Ulam–Rassias stability theory by considering the cases where the approximate remainder φ is defined bywhere (G, ∗ ) is a certain kind of algebraic system, E is a real or complex Hausdorff topological vector space, and f, g, h are mappings from G into E. We prove theorems for the Hyers–Ulam–Rassias stability of the above three kinds of functional equations and obtain the corresponding error formulas.
Holistic Holistic Holistic Holistic thinking thinking thinking thinking is is is is an an an an i... more Holistic Holistic Holistic Holistic thinking thinking thinking thinking is is is is an an an an important important important important thinking thinking thinking thinking way way way way of of of of current current current current scientific scientific scientific scientific development. development. development. development. It It It It is is is is continually continually continually continually developed developed developed developed with with with with flourishing flourishing flourishing flourishing of of of of holism, holism, holism, holism, systematic systematic systematic systematic science science science science and and and and complexity complexity complexity complexity theory. theory. theory. theory. It It It It is is is is far far far far from from from from enough enough enough enough the the the the study study study study of of of of academic academic academic academic circles circles circles circles on on on on its its its its theoretical theoretical theoretical theoretical system, system, system, system, and and and and an an an an automatic automatic automatic automatic condition condition condition condition exists exists exists exists in in in in some some some some aspects. aspects. aspects. aspects. This This This This article article article article is is is is going going going going to to to to comment comment comment comment and and and and analyze analyze analyze analyze several several several several important important important important aspects aspects aspects aspects in in in in theoretical theoretical theoretical theoretical establishment establishment establishment establishment of of of of holistic holistic holistic holistic thinking. thinking. thinking. thinking.