Domination and factorization theorems for positive strongly p-summing operators

被引：1

作者：

Achour, D. ^{[1
]}

Belacel, A. ^{[1
]}

机构：

[1] Univ Msila, Lab Anal Fonct & Geometrie Espaces, Msila 28000, Algeria

来源：

POSITIVITY | 2014年 / 18卷 / 04期

关键词：

Banach lattice; Positive; (p; q)-summing operators; Pietsch-type theorem; Strongly; Tensor norm; NUCLEAR OPERATORS; BANACH-LATTICES; VECTOR MEASURE; SPACES; CONVEX;

D O I：

10.1007/s11117-014-0276-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to contribute to the theory of -summing operators. We focus on positive -summing operators, introduced by Blasco (Collect Math 37(1):13-22, 1986). We characterize their conjugates and provide new domination/factorization theorems for these classes. As an application, it is also shown that certain known results on -concave operators from Banach lattices can be lifted to a class of -convex operators.

引用

页码：785 / 804

页数：20

共 50 条

[1] Positive p-summing operators and disjoint p-summing operators
Chen, Dongyang
Belacel, Amar
Chavez-Dominguez, Javier Alejandro
POSITIVITY, 2021, 25 (03) : 1045 - 1077
[2] Positive p-summing operators and disjoint p-summing operators
Dongyang Chen
Amar Belacel
Javier Alejandro Chávez-Domínguez
Positivity, 2021, 25 : 1045 - 1077
[3] ON THE POSITIVE DIMANT STRONGLY p-SUMMING MULTILINEAR OPERATORS
BOUGOUTAIA, A.
BELACEL, A.
HAMDI, H.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2020, 12 (02) : 401 - 411
[4] Strongly p-summing multilinear operators
Dimant, V
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 278 (01) : 182 - 193
[5] On the strongly p-summing sublinear operators
Achour, D.
Mezrag, L.
Tiaiba, A.
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (04): : 959 - 973
[6] MAUREY-ROSENTHAL FACTORIZATION FOR p-SUMMING OPERATORS AND DODDS-FREMLIN DOMINATION
Palazuelos, Carlos
Sanchez Perez, Enrique A.
Tradacete, Pedro
JOURNAL OF OPERATOR THEORY, 2012, 68 (01) : 205 - 222
[7] Cohen positive strongly p-summing and p-convex multilinear operators
Amar Bougoutaia
Amar Belacel
Positivity, 2019, 23 : 379 - 395
[8] On the Cohen strongly p-summing multilinear operators
Achour, D.
Mezrag, L.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) : 550 - 563
[9] Cohen positive strongly p-summing and p-convex multilinear operators
Bougoutaia, Amar
Belacel, Amar
POSITIVITY, 2019, 23 (02) : 379 - 395
[10] Some properties of Lipschitz strongly p-summing operators
Saadi, Khalil
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (02) : 1410 - 1426

← 1 2 3 4 5 →