STRICTLY SINGULAR OPERATORS ON BANACH LATTICES

被引：0

作者：

Hernandez, Francisco L. ^{[1
]}

Semenov, Evgeny M. ^{[2
]}

机构：

[1] Madrid Complutense Univ, IMI & Math Anal Dept, Madrid 28040, Spain

[2] Voronezh State Univ, Dept Math, Voronezh 394006, Russia

来源：

REAL ANALYSIS EXCHANGE | 2019年 / 44卷 / 01期

关键词：

Strictly singular operators; Rearrangement; invariant function spaces; Disjointly strictly singular operators; REARRANGEMENT-INVARIANT SPACES; INCLUSIONS; INTERPOLATION; IDEALS;

D O I：

10.14321/realanalexch.41.1.0037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We survey several properties of the class of strictly singular operators defined on Banach lattices of measurable functions and rearrangement invariant function spaces. The related classes of disjointly strictly singular operators and super strictly singular operators are also discussed. In particular we present interpolation properties of strictly singular operators between L-p - L-q spaces.

引用

页码：37 / 48

页数：12

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