Results 81 to 90 of about 18,838 (234)
Existence of fixed points of nonexpansive mappings in certain Banach lattices [PDF]
, 1979 Paolo M. Soardi
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Extracta Mathematicae, 2018 We obtained a generalization of the stability of some Banach lattice-valued functional equation with the addition replaced in the Cauchy functional equation by lattice operations and their combinations.
Nutefe Kwami Agbeko, Patrícia Szokol
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Mixed‐norm estimates via the helicoidal method
Mathematika, Volume 70, Issue 3, July 2024.Abstract We prove multiple vector‐valued and mixed‐norm estimates for multilinear operators in Rd$\mathbb {R}^d$, more precisely for multilinear operators Tk$T_k$ associated to a symbol singular along a k$k$‐dimensional space and for multilinear variants of the Hardy‐Littlewood maximal function.
Cristina Benea, Camil Muscalu
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The Köthe Dual of an Abstract Banach Lattice
Journal of Function Spaces and Applications, 2013 We analyze a suitable definition of Köthe dual for spaces of integrable functions with respect to vector measures defined on δ-rings. This family represents a broad class of Banach lattices, and nowadays it seems to be the biggest class of spaces ...
E. Jiménez Fernández +2 more
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Badly approximable grids and k$k$‐divergent lattices
Mathematika, Volume 70, Issue 3, July 2024.Abstract Let A∈Matm×n(R)$A\in \operatorname{Mat}_{m\times n}(\mathbb {R})$ be a matrix. In this paper, we investigate the set BadA⊂Tm$\operatorname{Bad}_A\subset \mathbb {T}^m$ of badly approximable targets for A$A$, where Tm$\mathbb {T}^m$ is the m$m$‐torus. It is well known that BadA$\operatorname{Bad}_A$ is a winning set for Schmidt's game and hence
Nikolay Moshchevitin +2 more
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Pareto optimality for nonlinear infinite dimensional control systems
International Journal of Mathematics and Mathematical Sciences, 1990 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.
Evgenios P. Avgerinos +1 more
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On irreducible operators on Banach lattices
Indagationes Mathematicae (Proceedings), 1986 We prove an extension of Ando-Krieger's theorem for positive, irreducible, order continuous Harris operators on Dedekind complete Banach lattices, i.e. the spectral radius of this class of operators is always strictly positive.
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A characterization of dual Banach lattices
Indagationes Mathematicae (Proceedings), 1989 Let E be a Banach lattice. E is said to have the (LRNP) if all positive operators from \(L^ 1(0,1)\) into E are abstract kernel operators. The author considers the following question: Does the (LRNP) characterize the dual Banach lattices? He shows that: If E is a Banach function space on a \(\sigma\)-finite complete measure space then E is a dual ...
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Characterization of Best Approximation Points with Lattice Homomorphisms
Journal of Mathematical Extension, 2014 In this paper we prove some characterization theorems in the theory of best approximation in Banach lattices. We use a new idea for finding the best approximation points in an ideal.
H. R. Khademzadeh, H. Mazaheri
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Haar null closed and convex sets in separable Banach spaces. [PDF]
Bull Lond Math Soc, 2023 Ravasini D.
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