Results 11 to 20 of about 11,022 (263)
On weak compactness and countable weak compactness in fixed point theory [PDF]
Proceedings of the American Mathematical Society, 1996 We prove that weak compactness and countable weak compactness in metric spaces are not equivalent. However, if the metric space has normal structure, they are equivalent. It follows that some fixed point theorems proved recently are consequences of a classical theorem of Kirk.
Kulesza, John, Lim, Teck-Cheong
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Weak Compactness of Almost Limited Operators
Journal of Function Spaces, 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 ...
Aziz Elbour +2 more
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Weak convergence and weak compactness in abstract 𝑀 spaces [PDF]
Proceedings of the American Mathematical Society, 1995 This paper presents some properties of bounded linear functionals on σ \sigma complete abstract M spaces, from which some criteria for weak convergence and weak compactness in such spaces are obtained.
Chen, Shutao, Sun, Huiying
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Weak Compactness and No Partial Squares [PDF]
The Journal of Symbolic Logic, 2011 AbstractWe present a characterization of weakly compact cardinals in terms of generalized stationarity. We apply this characterization to construct a model with no partial square sequences.
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Dependent Choices and Weak Compactness
Notre Dame Journal of Formal Logic, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Delhommé, Christian, Morillon, Marianne
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Non-archimedean Eberlein-mulian theory
International Journal of Mathematics and Mathematical Sciences, 1996 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.
T. Kiyosawa, W. H. Schikhof
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Axioms, 2023 We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions.
Maria Isabel Berenguer +3 more
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PROOF THEORY OF WEAK COMPACTNESS [PDF]
Journal of Mathematical Logic, 2013 We show that the existence of a weakly compact cardinal over the Zermelo–Fraenkel's set theory ZF is proof-theoretically reducible to iterations of Mostowski collapsings and Mahlo operations.
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Abstract and Applied Analysis, 2014 We first obtain that subdifferentials of set-valued mapping from finite-dimensional spaces to finite-dimensional possess certain relaxed compactness.
Yanfei Chai, Sanyang Liu, Guotao Wang
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Local and Global Existence of Solution for Love Type Waves with Past History
Mathematics, 2020 In this paper, we consider an initial boundary value problem for nonlinear Love equation with infinite memory. By combining the linearization method, the Faedo–Galerkin method, and the weak compactness method, the local existence and uniqueness of weak ...
Mohamed Biomy +2 more
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