Generalized quasi-Banach sequence spaces and measures of noncompactness

Generalized quasi-Banach sequence spaces and measures of noncompactness

Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces. For these spaces, new measures of noncompactness are also defined, related to the Hausdorff measure of noncompactne...

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Main Authors: EDUARDO B. SILVA, DIOCESAR L. FERNANDEZ, LUDMILA NIKOLOVA
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2013-06-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
espacos quase-Banach
funcoes quase-convexas
medidas de nao compacidade
teoria de interpolacao
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000200443&lng=en&tlng=en
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spelling doaj-a9b5c4bafeec478aad91037481b7ac4d2020-11-24T22:30:59ZengAcademia Brasileira de CiênciasAnais da Academia Brasileira de Ciências1678-26902013-06-0185244345610.1590/S0001-37652013000200002S0001-37652013000200443Generalized quasi-Banach sequence spaces and measures of noncompactnessEDUARDO B. SILVADIOCESAR L. FERNANDEZLUDMILA NIKOLOVAGiven 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces. For these spaces, new measures of noncompactness are also defined, related to the Hausdorff measure of noncompactness. As an application, compact sets in s – ψ -interpolation spaces of a quasi-Banach couple are studied.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000200443&lng=en&tlng=enespacos quase-Banachfuncoes quase-convexasmedidas de nao compacidadeteoria de interpolacao
collection DOAJ
language English
format Article
sources DOAJ
author EDUARDO B. SILVA
DIOCESAR L. FERNANDEZ
LUDMILA NIKOLOVA
spellingShingle EDUARDO B. SILVA
DIOCESAR L. FERNANDEZ
LUDMILA NIKOLOVA
Generalized quasi-Banach sequence spaces and measures of noncompactness
Anais da Academia Brasileira de Ciências
espacos quase-Banach
funcoes quase-convexas
medidas de nao compacidade
teoria de interpolacao
author_facet EDUARDO B. SILVA
DIOCESAR L. FERNANDEZ
LUDMILA NIKOLOVA
author_sort EDUARDO B. SILVA
title Generalized quasi-Banach sequence spaces and measures of noncompactness
title_short Generalized quasi-Banach sequence spaces and measures of noncompactness
title_full Generalized quasi-Banach sequence spaces and measures of noncompactness
title_fullStr Generalized quasi-Banach sequence spaces and measures of noncompactness
title_full_unstemmed Generalized quasi-Banach sequence spaces and measures of noncompactness
title_sort generalized quasi-banach sequence spaces and measures of noncompactness
publisher Academia Brasileira de Ciências
series Anais da Academia Brasileira de Ciências
issn 1678-2690
publishDate 2013-06-01
description Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces. For these spaces, new measures of noncompactness are also defined, related to the Hausdorff measure of noncompactness. As an application, compact sets in s – ψ -interpolation spaces of a quasi-Banach couple are studied.
topic espacos quase-Banach
funcoes quase-convexas
medidas de nao compacidade
teoria de interpolacao
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000200443&lng=en&tlng=en
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AT ludmilanikolova generalizedquasibanachsequencespacesandmeasuresofnoncompactness
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