Results 1 to 10 of about 589,349 (56)
Entire functions on banach spaces with the U$U$‐property
Bulletin of the London Mathematical Society, Volume 54, Issue 1, Page 126-144, February 2022., 2022 Abstract Let E$E$ be a Banach space without a copy of l1$l_{1}$ and with the U$U$‐property. We show that every entire function on E$E$ which is weakly continuous on bounded sets is bounded on bounded sets of E$E$. We answer this way, in the affirmative, to a problem raised by Aron, Hervés, and Valdivia in 1983, for these spaces.
Humberto D. Carrión V.
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Mean‐ portfolio selection and ‐arbitrage for coherent risk measures
Mathematical Finance, Volume 32, Issue 1, Page 226-272, January 2022., 2022 Abstract We revisit mean‐risk portfolio selection in a one‐period financial market where risk is quantified by a positively homogeneous risk measure . We first show that under mild assumptions, the set of optimal portfolios for a fixed return is nonempty and compact.
Martin Herdegen, Nazem Khan
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Leray–Schauder Fixed Point Theorems for Block Operator Matrix with an Application
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we establish some new variants of Leray–Schauder‐type fixed point theorems for a 2 × 2 block operator matrix defined on nonempty, closed, and convex subsets Ω of Banach spaces. Note here that Ω need not be bounded. These results are formulated in terms of weak sequential continuity and the technique of De Blasi measure of weak ...
Mohamed Amine Farid +3 more
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Versions of Eberlein-Smulian and Amir-Lindenstrauss theorems in the framework of conditional sets [PDF]
, 2015 Based on conditional set theory, we study conditional weak topologies, extending some well-known results to this framework and culminating with the proof of conditional versions of Eberlein-\v{S}mulian and Amir-Lindenstrauss Theorems.
J. M. Zapata
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A formalisation of Gallagher's ergodic theorem [PDF]
International Conference on Interactive Theorem Proving, 2023 Gallagher's ergodic theorem is a result in metric number theory. It states that the approximation of real numbers by rational numbers obeys a striking 'all or nothing' behaviour. We discuss a formalisation of this result in the Lean theorem prover.
Oliver Nash
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Stability, the NIP, and the NSOP: model theoretic properties of formulas via topological properties of function spaces [PDF]
Mathematical Logic Quarterly, 2014 We study and characterize stability, the negation of the independence property (NIP) and the negation of the strict order property (NSOP) in terms of topological and measure theoretical properties of classes of functions.
Karim Khanaki
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A nonstandard proof of the Eberlein-Smulian theorem
, 2003 The Eberlein-Smulian theorem on the equivalence of weak compactness and the finite intersection property of bounded closed convex sets is given a short elementary proof by applying Abraham Robinson's nonstandard characterization of compactness.
S. Baratella, Siu-Ah Ng
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Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 This paper aims to discuss the solvability of some perturbed generalized variational inequalities with both the mapping and the constraint set perturbed simultaneously in reflexive Banach spaces, under some coercivity conditions. In particular, a new result that the set is directional perturbed is presented.
Xue-ping Luo, Adrian Petrusel
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Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As an example we consider a problem in population dynamic described by an integro‐partial‐differential ...
Irene Benedetti +3 more
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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
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