Results 21 to 30 of about 41 (41)
Non‐archimedean Eberlein‐ mulian theory
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 637-642, 1996., 1995 It is shown that, for a large class of non‐archimedean normed spaces E, a subset X is weakly compact as soon as f(X) is compact for all f ∈ E′ (Theorem 2.1), a fact that has no analogue in Functional Analysis over the real or complex numbers. As a Corollary we derive a non‐archimedean version of the Eberlein‐ mulian Theorem (2.2 and 2.3, for the ...
T. Kiyosawa, W. H. Schikhof
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Pareto optimality for nonlinear infinite dimensional control systems
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 233-242, 1990., 1989 In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice. An example is also presented in detail. Our result extends earlier ones obtained by Cesari and Suryanarayana.
Evgenios P. Avgerinos +1 more
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Measurable multifunctions and their applications to convex integral functionals
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 1, Page 175-191, 1989., 1988 The purpose of this paper is to establish some new properties of set valued measurable functions and of their sets of Integrable selectors and to use them to study convex integral functionals defined on Lebesgue‐Bochner spaces. In this process we also obtain a characterization of separable dual Banach spaces using multifunctions and we present some ...
Nikolaos S. Papageorgiou
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A Quantitative Version of James’s Reflexivity Theorem
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this note, we will use a measure of nonreflexivity of Banach spaces, a measure of nonbounded completeness of bases, and a measure of nonshrinkingness of bases to prove a quantitative version of the well‐known reflexivity theorem due to R. C. James.
Xuemei Xue, Richard I. Avery
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Convergence theorems for Banach space valued integrable multifunctions
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 3, Page 433-442, 1987., 1987 In this work we generalize a result of Kato on the pointwise behavior of a weakly convergent sequence in the Lebesgue‐Bochner spaces . Then we use that result to prove Fatou′s type lemmata and dominated convergence theorems for the Aumann integral of Banach space valued measurable multifunctions.
Nikolaos S. Papageorgiou
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Compact convex sets free of inner points in infinite‐dimensional topological vector spaces
Mathematische Nachrichten, Volume 297, Issue 5, Page 1668-1677, May 2024.Abstract An inner point of a non‐singleton convex set M$M$ is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite‐dimensional setting. Following
Almudena Campos‐Jiménez +1 more
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Tangent cones, starshape and convexity
, 1978 International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 4, Page 459-477, 1978.
J. M. Borwein
wiley +1 more source
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Extending Noether’s theorem by quantifying the asymmetry of quantum states
Nature Communications, 2014Iman Marvian, Robert W Spekkens
exaly