Results 11 to 20 of about 550,218 (272)

Interpolating hereditarily indecomposable Banach spaces [PDF]

open access: yesarXiv, 1997
It is shown that every Banach space either contains $\ell ^1$ or it has an infinite dimensional closed subspace which is a quotient of a H.I.
Argyros, Spiros A., Felouzis, V.
core   +1 more source

Weakly Lindelof determined Banach spaces not containing $\ell^1(N)$ [PDF]

open access: yesarXiv, 1992
The class of countably intersected families of sets is defined. For any such family we define a Banach space not containing $\ell^{1}(\NN )$. Thus we obtain counterexamples to certain questions related to the heredity problem for W.C.G.
Argyros, Spiros A.
core   +2 more sources

p-adic Banach space operators and adelic Banach space operators [PDF]

open access: yesOpuscula Mathematica, 2014
In this paper, we study non-Archimedean Banach \(*\)-algebras \(\frak{M}_{p}\) over the \(p\)-adic number fields \(\mathbb{Q}_{p}\), and \(\frak{M}_{\mathbb{Q}}\) over the adele ring \(\mathbb{A}_{\mathbb{Q}}\). We call elements of \(\frak{M}_{p}\), \(p\)
Ilwoo Cho
doaj   +1 more source

Geometric Characterization of Injective Banach Lattices

open access: yesMathematics, 2021
This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective ...
Anatoly Kusraev, Semën Kutateladze
doaj   +1 more source

Properties of Chmielinski-orthogonality using Kadets-Klee property

open access: yesIraqi Journal for Computer Science and Mathematics, 2022
The aim of this paper is to study new results of an approximate orthogonality of Birkhoff-James techniques in real Banach space , namely Chiemelinski orthogonality (even there is no ambiguity between the concepts symbolized by orthogonality) and provide
saied Johnny, Buthainah A. A. Ahmed
doaj   +1 more source

The Space of Functions with Tempered Increments on a Locally Compact and Countable at Infinity Metric Space

open access: yesAxioms, 2021
The aim of the paper is to introduce the Banach space consisting of real functions defined on a locally compact and countable at infinity metric space and having increments tempered by a modulus of continuity.
Józef Banaś, Rafał Nalepa
doaj   +1 more source

An approach of Banach algebra in fuzzy metric spaces with an application

open access: yesAIMS Mathematics, 2022
The purpose of this paper is to present a new concept of a Banach algebra in a fuzzy metric space (FM-space). We define an open ball, an open set and prove that every open ball in an FM-space over a Banach algebra A is an open set.
Saif Ur Rehman   +3 more
doaj   +1 more source

Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers

open access: yesJournal of Function Spaces, 2020
Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

Observations on the Separable Quotient Problem for Banach Spaces

open access: yesAxioms, 2020
The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
doaj   +1 more source

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