Zobrazeno 1 - 10
of 257
pro vyhledávání: '"46A16"'
Autor:
Sánchez, Félix Cabello
Publikováno v:
Extracta Mathematic{\ae}, 2024. https://revista-em.unex.es/index.php/EM
We address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps. We provide a bridge between these "accessible" operators and the theory
Externí odkaz:
http://arxiv.org/abs/2501.01297
Autor:
Kumar, Akshay
This article begins by deriving a measure-theoretic decomposition of continuous linear functionals on $C(X)$, the space of all real-valued continuous functions on a metric space $(X, d)$, equipped with the topology $\tau_\mathcal{B}$ of uniform conve
Externí odkaz:
http://arxiv.org/abs/2412.19277
Autor:
Peša, Dalimil
This paper explores the interactions of absolute continuity of the (quasi)norm with the concepts that are fundamental in the theory of rearrangement-invariant (quasi-)Banach function spaces, such as the Luxemburg representation or the Hardy--Littlewo
Externí odkaz:
http://arxiv.org/abs/2412.13903
Autor:
Alves, Nuno J.
We consider the space of functions almost in $L_p$ equipped with the topology of asymptotic $L_p$-convergence. This space is shown to form a completely metrizable topological vector space, extending the space of measurable functions with the topology
Externí odkaz:
http://arxiv.org/abs/2410.22905
Autor:
Albiac, Fernando, Ansorena, Jose L.
The aim of this paper is twofold. On the one hand, we manage to identify Banach-valued Hardy spaces of analytic functions over the disc $\mathbb{D}$ with other classes of Hardy spaces, thus complementing the existing literature on the subject. On the
Externí odkaz:
http://arxiv.org/abs/2409.04866
Autor:
Abdullaev, Rustam, Azizov, Azizkhon
This paper establishes a necessary and sufficient condition for the coincidence of non-commutative $\log$-algebras constructed from different exact normal semifinite traces. Consequently, we provide a criterion for the isomorphism of $\log$-algebras
Externí odkaz:
http://arxiv.org/abs/2408.13527
The sequence of entropy numbers quantifies the degree of compactness of a linear operator acting between quasi-Banach spaces. We determine the asymptotic behavior of entropy numbers in the case of natural embeddings between finite-dimensional Lorentz
Externí odkaz:
http://arxiv.org/abs/2404.06058
This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the Luxemburg representation theorem for rearrangement-invariant quasi-Ban
Externí odkaz:
http://arxiv.org/abs/2404.00707
Autor:
Bíma, Jan
Given two metric spaces $\mathcal N \subseteq \mathcal M$ in inclusion and $0
Externí odkaz:
http://arxiv.org/abs/2402.03189
Autor:
Ding, Longyun, Zheng, Yang
Given a Polish group $G$, let $E(G)$ be the right coset equivalence relation $G^\omega/c(G)$, where $c(G)$ is the group of all convergent sequences in $G$. We first established two results: (1) Let $G,H$ be two Polish groups. If $H$ is TSI but $G$ is
Externí odkaz:
http://arxiv.org/abs/2401.15556