Domination problems for strictly singular operators and other related classes

被引：9

作者：

Flores, Julio ^{[1
]}

Hernandez, Francisco L. ^{[2
]}

Tradacete, Pedro ^{[3
]}

机构：

[1] Univ Rey Juan Carlos, Escet, Dept Matemat Aplicada, Madrid, Spain

[2] Univ Complutense Madrid, Dept Anal Matemat, E-28040 Madrid, Spain

[3] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

来源：

POSITIVITY | 2011年 / 15卷 / 04期

关键词：

Banach lattice; Positive operators; Strictly singular operator; Narrow operator; Banach-Saks operator; p-Summing operator; COMPACT-OPERATORS; BANACH-LATTICES; DODDS-FREMLIN; INCLUSIONS; EMBEDDINGS; SUBSPACES; SPACES;

D O I：

10.1007/s11117-010-0100-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We survey recent results on domination properties of strictly singular operators and related operator ideals, as well as Banach-Saks operators, Narrow operators and p-summing operators.

引用

页码：595 / 616

页数：22

共 50 条

[21] Strictly singular and regular integral operators
Flores, Julio
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 55 (04) : 487 - 496
[22] UNBOUNDED STRICTLY SINGULAR-OPERATORS
CROSS, RW
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1988, 91 (03): : 245 - 248
[23] ON IDEALS OF STRICTLY SINGULAR AND INESSENTIAL OPERATORS
PFAFFENB.WE
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (04): : 672 - &
[24] Strictly Singular and Regular Integral Operators
Julio Flores
Integral Equations and Operator Theory, 2006, 55 : 487 - 496
[25] IDEALS OF OPERATORS STRICTLY SINGULAR ON SUBSPACES
MEYER, MJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (04) : 1121 - 1123
[26] Strictly singular multiplication operators on ℒ(X)
Martin Mathieu
Pedro Tradacete
Israel Journal of Mathematics, 2020, 236 : 685 - 709
[27] STRICTLY SINGULAR AND STRICTLY COSINGULAR OPERATORS ON C(K, E)
BOMBAL, F
PORRAS, B
MATHEMATISCHE NACHRICHTEN, 1989, 143 : 355 - 364
[28] Strictly singular operators and the invariant subspace problem
Read, CJ
STUDIA MATHEMATICA, 1999, 132 (03) : 203 - 226
[29] An ordinal indexing on the space of strictly singular operators
Kevin Beanland
Israel Journal of Mathematics, 2011, 182 : 47 - 59
[30] FACTORABLE AND STRICTLY SINGULAR OPERATORS .1.
PORTA, H
STUDIA MATHEMATICA, 1971, 37 (03) : 237 - &

← 1 2 3 4 5 →