Results 71 to 80 of about 10,258 (191)
The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
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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
doaj
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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Property (T) for groups acting on affine buildings
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3151-3162, October 2025.Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
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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
europepmc +1 more source
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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, 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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A Note on Spectral Sublinearity for Collections of Positive Compact Operators on Banach Lattices
Special Matrices, 2018 In this paper we consider the question when a triangularizable semigroup S of positive compact ideal-triangularizable operators on an order continuous Banach lattice X is ideal-triangularizable.
Kandić M.
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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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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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