Results 31 to 40 of about 603,801 (119)
Weak Compactness of Almost Limited Operators
Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014 This paper is devoted to the relationship between almost limited operators and weakly compact operators. We show that if F is a σ‐Dedekind complete Banach lattice, then every almost limited operator T : E → F is weakly compact if and only if E is reflexive or the norm of F is order continuous.
Aziz Elbour +3 more
wiley +1 more source
Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 Let Σ be a σ‐algebra of subsets of a nonempty set Ω. Let B(Σ) be the complex vector lattice of bounded Σ‐measurable complex‐valued functions on Ω and let ca(Σ) be the Banach space of all bounded countably additive complex‐valued measures on Ω. We study locally solid topologies on B(Σ).
Marian Nowak, Stanislav Hencl
wiley +1 more source
Fixed‐Point Theory on a Frechet Topological Vector Space
International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011 We establish some versions of fixed‐point theorem in a Frechet topological vector space E. The main result is that every map A = BC (where B is a continuous map and C is a continuous linear weakly compact operator) from a closed convex subset of a Frechet topological vector space having the Dunford‐Pettis property into itself has fixed‐point.
Afif Ben Amar +3 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
On the Adjoint of a Strongly Continuous Semigroup
Abstract and Applied Analysis, Volume 2008, Issue 1, 2008., 2008 Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy of l1; we also prove the strong continuity away from zero of the adjoint if the semigroup factors through Grothendieck spaces.
Diómedes Bárcenas +2 more
wiley +1 more source
The τ‐fixed point property for nonexpansive mappings
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 343-362, 1998., 1998 Let X be a Banach space and τ a topology on X. We say that X has the τ‐fixed point property (τ‐FPP) if every nonexpansive mapping T defined from a bounded convex τ‐sequentially compact subset C of X into C has a fixed point. When τ satisfies certain regularity conditions, we show that normal structure assures the τ‐FPP and Goebel‐Karlovitz′s Lemma ...
Tomás Domínguez Benavides +2 more
wiley +1 more source
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
Spectral properties of a non-compact operator in ecology [PDF]
, 2021 Ecologists have recently used integral projection models (IPMs) to study fish and other animals which continue to grow throughout their lives. Such animals cannot shrink, since they have bony skeletons; a mathematical consequence of this is that the ...
Rebarber, Richard +2 more
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Stochastic homogenization of Hamilton--Jacobi--Bellman equations on continuum percolation clusters [PDF]
, 2022 We prove homogenization properties of random Hamilton--Jacobi--Bellman (HJB) equations on continuum percolation clusters, almost surely w.r.t. the law of the environment when the origin belongs to the unbounded component in the continuum.
Bazaes, Rodrigo +2 more
core +1 more source
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