Zobrazeno 1 - 10
of 404
pro vyhledávání: '"46B10"'
Autor:
Niemiec, Piotr
The main aim of the paper is to introduce the concept of metric duality in the category of topological Abelian groups that extends the classical notion of duality for normed vector spaces and behaves quite nicely for LCA groups (equipped with nice me
Externí odkaz:
http://arxiv.org/abs/2406.19924
Autor:
Babb, Ryan Luis Acosta
Normed spaces appear to have very little going for them: aside from the hackneyed linear structure, you get a norm whose only virtue, aside from separating points, is the Triangle Inequality. What could you possibly prove with that? As it turns out,
Externí odkaz:
http://arxiv.org/abs/2405.13463
Autor:
Samuels, Charles L.
Recent work of the author established dual representation theorems for certain vector spaces that arise in an important article of Allcock and Vaaler. These results constructed an object called a consistent map which acts like a measure on the set of
Externí odkaz:
http://arxiv.org/abs/2405.06519
Autor:
Daptari, Soumitra
In this paper, we study several variants of Hahn-Banach smoothness, viz., property-$(SU)$/$(HB)$/$(wU)$, where property-$(SU)$ and property-$(HB)$ are stronger notions and property-$(wU)$ is a weaker notion of Hahn-Banach smoothness. We characterize
Externí odkaz:
http://arxiv.org/abs/2403.03453
Autor:
Kruse, Karsten
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2 73 (2024), 1591-1615
We study the problem of existence of preduals of locally convex Hausdorff spaces. We derive necessary and sufficient conditions for the existence of a predual with certain properties of a bornological locally convex Hausdorff space $X$. Then we turn
Externí odkaz:
http://arxiv.org/abs/2402.12615
Autor:
Motakis, Pavlos, Pelczar-Barwacz, Anna
For a Banach space $X$ denote by $\mathcal{L}(X)$ the algebra of bounded linear operators on $X$, by $\mathcal{K}(X)$ the compact operator ideal on $X$, and by $Cal(X) = \mathcal{L}(X)/\mathcal{K}(X)$ the Calkin algebra of $X$. We prove that $Cal(X)$
Externí odkaz:
http://arxiv.org/abs/2401.18037
Autor:
Baudier, Florent P., Lancien, Gilles
In this note, we investigate the renorming theory of Banach spaces with property $(\beta)$ of Rolewicz. In particular, we give a "coordinate-free" proof of the fact that every Banach space with property $(\beta)$ admits an equivalent norm that is asy
Externí odkaz:
http://arxiv.org/abs/2401.17465
Autor:
Foghem, Guy
The Banach-Saks property is an important tool in analysis with applications ranging from partial differential equations (PDEs) to calculus of variations and probability theory. We survey the Banach-Saks property for $L^p$-spaces, with a particular em
Externí odkaz:
http://arxiv.org/abs/2311.07319
Autor:
Mohit, Jain, Ranjana
In this article, we discuss the relationship between Birkhoff-James orthogonality of elementary tensors in the space $L^{p}(\mu)\otimes^{\Delta_{p}}X,\; (1\leq p<\infty)$ with the individual elements in their respective spaces, where $X$ is a Banach
Externí odkaz:
http://arxiv.org/abs/2310.19442
Autor:
Bërdëllima, Arian, Braha, Naim L.
Given an infinite matrix $M=(m_{nk})$ we study a family of sequence spaces $\ell_M^p$ associated with it. When equipped with a suitable norm $\|\cdot\|_{M,p}$ we prove some basic properties of the Banach spaces of sequences $(\ell_M^p,\|\cdot\|_{M,p}
Externí odkaz:
http://arxiv.org/abs/2310.12030