INTERPOLATION OF A MEASURE OF WEAK NON-COMPACTNESS

被引：2

作者：

Szwedek, Radoslaw ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2011年 / 36卷 / 02期

关键词：

Measure of weak non-compactness; real interpolation; ARONSZAJN-GAGLIARDO FUNCTORS; CLOSED OPERATOR IDEALS; REAL INTERPOLATION; COMPACT-OPERATORS; ABSTRACT-K; J-SPACES;

D O I：

10.5186/aasfm.2011.3642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the measure of weak non-compactness of operators between abstract interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. We specialize our results and show applications to weak compactness of operators.

引用

页码：537 / 552

页数：16

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