Results 1 to 10 of about 108,393 (45)
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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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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Int.J.Mod.Phys. D14 (2005) 2219-2226, 2005 A new theorem for black holes is found. It is called the horizon mass theorem. The horizon mass is the mass which cannot escape from the horizon of a black hole. For all black holes: neutral, charged or rotating, the horizon mass is always twice the irreducible mass observed at infinity. Previous theorems on black holes are: 1. the singularity theorem,
arxiv +1 more source
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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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
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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
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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
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