Results 71 to 80 of about 11,294 (215)
ℓp$\ell ^p$ metrics on cell complexes
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
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Mathematische Zeitschrift, 1977 A Banach lattice E (over the field of reals) is said to be injective if, for every Banach lattice G, every closed linear sublattice F of G and every positive linear operator u: F--*E, there is a positive linear extension v: G . E with IIv[I = Ilull.
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A Radon-Nikodym theorem for nonlinear functionals on Banach lattices [PDF]
, 2022 William Feldman
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Common Fixed Point Theorems for Order Contractive Mappings on a σ‐Complete Vector Lattice
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove some common fixed point theorems for order contractive mappings on a σ‐complete vector lattice. We apply new results to study the well‐posedness of a common fixed point problem for two contractive mappings. Our proofs are simple and purely order‐theoretic in nature.
Min Wang +4 more
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Free Banach lattices under convexity conditions. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2022 Jardón-Sánchez H +4 more
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Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we establish various existence results of solutions for fractional differential equations and inclusions of arbitrary order $q\in (m-1,m)$, where $m$ is an arbitrary natural number greater than or equal to two, in infinite dimensional ...
JinRong Wang +2 more
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, 2023 The main goal of this thesis is to find conditions, under which, Banach Lattices are isomorphic either to C(K), where K is compact, or to L1(μ), with respect to the measure μ. In Chapter 1, we give some basic notations and definitions for vector lattices.
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Characterization of Banach Lattices in Terms of Quasi-Interior Points
International Journal of Mathematics and Mathematical Sciences, 2013 In terms of quasi-interior points, criteria that a Banach lattice has order continuous norm or is an -space with a unit are given. For example, if is Dedekind complete and has a weak order unit, then has order continuous norm if and only if the set of
Egor A. Alekhno
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Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces
Journal of Function Spaces, 2018 A new concept of statistically e-uniform Cauchy sequences is introduced to study statistical order convergence, statistically relatively uniform convergence, and norm statistical convergence in Riesz spaces.
Xuemei Xue, Jian Tao
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Some properties of b-weakly compact operators on Banach lattices
پژوهشهای ریاضی, 2021 In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space .
Kazem Haghnejad azar, Akbar Bahramnezhad
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