Generalized quasi-Banach sequence spaces and measures of noncompactness-Reference-Cited by-同舟云学术

Generalized quasi-Banach sequence spaces and measures of noncompactness

Published:2013-06 Issue:2 Volume:85 Page:443-456
ISSN:0001-3765
Container-title:Anais da Academia Brasileira de Ciências
language:
Short-container-title:An. Acad. Bras. Ciênc.

Author:

SILVA EDUARDO B.¹,FERNANDEZ DIOCESAR L.²,NIKOLOVA LUDMILA³

Affiliation:

1. Universidade Estadual de Maringa, Brasil

2. Universidade Estadual de Campinas, Brasil

3. Sofia University, Bulgaria

Abstract

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.

Publisher

FapUNIFESP (SciELO)

Subject

Multidisciplinary

Link

http://www.scielo.br/pdf/aabc/v85n2/0001-3765-aabc-85-02-443.pdf

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