Results 41 to 50 of about 4,758,376 (292)

A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases

open access: yes, 2007
We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into ...
Johnson, W. B., Zheng, Bentuo
core   +2 more sources

The heart of the Banach spaces [PDF]

open access: yesJournal of Pure and Applied Algebra, 2017
Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Beilinson, Bernstein and Deligne consider in this setting a t-structure on the derived category and remark that its heart can be described as a category of formal quotients ...
openaire   +3 more sources

Multismoothness in Banach Spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
In this paper, motivated by the results published by R. Khalil and A. Saleh in 2005, we study the notion ofk-smooth points and the notion ofk-smoothness, which are dual to the notion ofk-rotundity. Generalizing these notions and combining smoothness with the recently introduced notion of unitary, we study classes of Banach spaces for which the vector ...
T. S. S. R. K. Rao, Bor-Luh Lin
openaire   +2 more sources

A characterization of the essential pseudospectra on a Banach space

open access: yes, 2013
In this paper, we introduce and study the essential pseudospectra of closed, densely defined linear operators in the Banach space. We start by giving the definition and we investigate the characterization, the stability and some properties of these ...
A. Ammar, A. Jeribi
semanticscholar   +1 more source

K-frames for Banach Spaces

open access: yesJournal of Function Spaces, 2022
In order to reconstruct elements from the range of a linear bounded operator K on a separable Banach space, concepts of K-frames and K∗-atomic systems for Banach spaces are introduced, the relationship between the two is discussed, and the sufficient ...
Baoguang Sun, Chunyan Li
doaj   +1 more source

On Differentiable Vectors for Representations of Infinite Dimensional Lie Groups [PDF]

open access: yes, 2010
In this paper we develop two types of tools to deal with differentiability properties of vectors in continuous representations $\pi \: G \to \GL(V)$ of an infinite dimensional Lie group $G$ on a locally convex space $V$.
Neeb, Karl-Hermann
core   +2 more sources

On M-spaces and Banach spaces [PDF]

open access: yes, 2008
We define in this paper the concept of C-space, related with M-spaces and Banach spaces. We obtain various properties on these spaces and propose some open problems.
openaire   +1 more source

Some Banach spaces added by a Cohen real [PDF]

open access: yes, 2014
We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density $\aleph_1$ which does not embed into any such space in the ground model ...
Bell   +11 more
core   +3 more sources

Geometric Properties of Generalized Von Neumann Constant

open access: yesJournal of Harbin University of Science and Technology, 2023
Spatial geometric constant is a quantization of the properties of spatial geometry. In order to further apply the geometric constant to study the geometry of the Banach space, a new generalized von Neumann constant is introduced.
ZHAO Liang, ZHAO Pingan
doaj   +1 more source

Compacta in Banach spaces [PDF]

open access: yes, 2015
Capítulo 1. Después de estudiar algunos preliminares sobre familias adecuadas de conjuntos, formulamos y probamos algunas equivalencias, cada una de ellas son una condición suficiente para que la familia defina un conjunto compacto de Gul'ko.
Alma Lucía, González Correa
openaire   +3 more sources

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