Results 81 to 90 of about 19,014 (240)
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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Classification conjectures for Leavitt path algebras
Bulletin of the London Mathematical Society, Volume 56, Issue 10, Page 3011-3060, October 2024.Abstract The theory of Leavitt path algebras is intrinsically related, via graphs, to the theory of symbolic dynamics and C∗$C^*$‐algebras where the major classification programs have been a domain of intense research in the last 50 years. In this article, we gather together current lines of research in the classification of Leavitt path algebras ...
Guillermo Cortiñas, Roozbeh Hazrat
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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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The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2374-2394, July 2024.Abstract The classical Liouville property says that all bounded harmonic functions in Rn$\mathbb {R}^n$, that is, all bounded functions satisfying Δf=0$\Delta f = 0$, are constant. In this paper, we obtain necessary and sufficient conditions on the symbol of a Fourier multiplier operator m(D)$m(D)$, such that the solutions f$f$ to m(D)f=0$m(D)f=0$ are ...
David Berger +2 more
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Convergence of Submartingales in Banach Lattices
The Annals of Probability, 1976 We discuss analogues of Doob's convergence theorem for submartingales with values in Banach lattices with the Radon-Nikodym property.
Szulga, Jerzy, Woyczynski, Wojbor A.
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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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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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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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