Results 31 to 40 of about 589,406 (95)
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
wiley +1 more source
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
Model theoretic stability and definability of types, after A. Grothendieck
, 2014 We point out how the "Fundamental Theorem of Stability Theory", namely the equivalence between the "non order property" and definability of types, proved by Shelah in the 1970s, is in fact an immediate consequence of Grothendieck's "Crit{\`e}res de ...
Yaacov, Itaï Ben
core +3 more sources
Tight embeddability of proper and stable metric spaces [PDF]
, 2015 We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for $p\in [1,\infty]$, every proper subset of $L_p$ is almost Lipschitzly embeddable into a Banach space $X$ if and only if $X$ contains ...
Baudier, Florent, Lancien, Gilles
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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
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 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
Uniform families of ergodic operator nets
, 2012 We study mean ergodicity in amenable operator semigroups and establish the connection to the convergence of strong and weak ergodic nets. We then use these results in order to show the convergence of uniform families of ergodic nets that appear in ...
Schreiber, Marco
core +1 more source
The Dirichlet energies of functions between spheres [PDF]
, 2023 included in ...
González-Castillo, Samuel
core
Mackey compactness in Banach spaces
, 1973 If A', a subset of a conjugate Banach space X', is sequentially compact in the Mackey topology (r(X', X)), then A' is conditionally compact in the Mackey topology. The converse is not true. A subset A is conditionally compact if its closure is compact; A
J. Howard
semanticscholar +1 more source