Results 51 to 60 of about 18,838 (234)
Lattice embeddings in free Banach lattices over lattices
Mathematical Inequalities & Applications, 2022 In this article we deal with the free Banach lattice generated by a lattice and its behavior with respect to subspaces. In general, any lattice embedding $i\colon \mathbb{L} \longrightarrow \mathbb{M}$ between two lattices $\mathbb{L} \subseteq \mathbb{M}$ induces a Banach lattice homomorphism $\hat \imath\colon FBL \langle \mathbb{L} \rangle ...
Avilés, Antonio +3 more
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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Substitutions on compact alphabets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
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Relatively uniform Banach lattices [PDF]
Proceedings of the American Mathematical Society, 1975 Sequential relative uniform and norm convergence agree in a Banach lattice, if and only if it is equivalent to an M M space.
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Characterization of Banach Lattices in Terms of Quasi-Interior Points
International Journal of Mathematics and Mathematical Sciences, 2013 In terms of quasi-interior points, criteria that a Banach lattice has order continuous norm or is an -space with a unit are given. For example, if is Dedekind complete and has a weak order unit, then has order continuous norm if and only if the set of
Egor A. Alekhno
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Lipschitz decompositions of domains with bilaterally flat boundaries
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
wiley +1 more source
The free Banach lattice generated by a Banach space [PDF]
Journal of Functional Analysis, 2018 The free Banach lattice over a Banach space is introduced and analyzed. This generalizes the concept of free Banach lattice over a set of generators, and allows us to study the Nakano property and the density character of non-degenerate intervals on these spaces, answering some recent questions of B. de Pagter and A.W. Wickstead.
Pedro Tradacete +2 more
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Some characterizations of surjective operators on banach lattices [PDF]
Journal of Hyperstructures, 2018 The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach ...
Akbar Bahramnezhad, Kazem Haghnejad Azar
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Order convergence in infinite-dimensional vector lattices is not topological [PDF]
, 2017 In this note, we show that the order convergence in a vector lattice $X$ is not topological unless $\dim ...
Dabboorasad, Y. A. +2 more
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Asymptotics of block Toeplitz determinants with piecewise continuous symbols
Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor +2 more
wiley +1 more source