Generalized quasi-Banach sequence spaces and measures of noncompactness

被引：8
作者：
Silva, Eduardo B. [1 ]
Fernandez, Diocesar L. [2 ]
Nikolova, Ludmila [3 ]
机构：
[1] Univ Estadual Maringa, DMA, BR-87020900 Maringa, Parana, Brazil
[2] Univ Estadual Campinas, IMECC, BR-13083859 Campinas, SP, Brazil
[3] Univ Sofia, Fac Math & Informat, Sofia 1164, Bulgaria
来源：
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2013年 / 85卷 / 02期
关键词：
quasi-Banach spaces; quasi-convex functions; measures of noncompactness; interpolation theory; REAL INTERPOLATION; COMPACT-OPERATORS; HARDY-SPACES; BOUNDEDNESS;
D O I：
10.1590/S0001-37652013000200002
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Given 0 < s <= 1 and psi an s-convex function, s - psi -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s - psi-spaces. For these spaces, new measures of noncompactness are also defi ned, related to the Hausdorff measure of noncompactness. As an application, compact sets in s - psi-interpolation spaces of a quasi-Banach couple are studied.
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页码：443 / 456
页数：14
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