Results 41 to 50 of about 603,801 (119)
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
The Dirichlet energies of functions between spheres [PDF]
, 2023 included in ...
González-Castillo, Samuel
core
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
wiley +1 more source
On the properties of the solution set map to Volterra integral inclusion
, 2017 For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
core +1 more source
The Free Energy of a Quantum Sherrington–Kirkpatrick Spin-Glass Model for Weak Disorder [PDF]
, 2023 We extend two rigorous results of Aizenman, Lebowitz, and Ruelle in their pioneering paper of 1987 on the Sherrington–Kirkpatrick spin-glass model without external magnetic field to the quantum case with a “transverse field” of strength b. More precisely,
Leschke, Hajo +3 more
core +2 more sources
Global existence of dissipative solutions to the Camassa--Holm equation with transport noise [PDF]
, 2023 We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa–Holm equation perturbed by a convective, position-dependent, noise term.
Galimberti, Luca +3 more
core +1 more source
Piecewise Euclidean Structures and Eberlein's Rigidity Theorem in the Singular Case [PDF]
, 1999 In this article, we generalize Eberlein’s Rigidity Theorem to the singular case, namely, one of the spaces is only assumed to be a CAT(0) topological manifold.
Michael W. Davis, B. Okun, F. Zheng
semanticscholar +1 more source