ON THE CLASS OF POSITIVE DISJOINT WEAK p-CONVERGENT OPERATORS

被引：0

作者：

Retbi, Abderrahman ^{[1
]}

Mellal, Beni ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Polydisciplinary Fac, BP 592, Beni Mellal, Morocco

来源：

MATHEMATICA BOHEMICA | 2024年 / 149卷 / 03期

关键词：

p-convergent operator; disjoint p-convergent operator; positive Schur property of order p; order continuous norm; Banach lattice; PROPERTY;

D O I：

10.21136/MB.2023.0160-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and study the disjoint weak p-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of positive disjoint weak p-convergent operators. Next, we examine the relationship between disjoint weak p-convergent operators and disjoint p-convergent operators. Finally, we characterize order bounded disjoint weak p-convergent operators in terms of sequences in Banach lattices.

引用

页码：409 / 418

页数：10

共 12 条

[1] p-Convergent Operators and the p-Schur Property [J].

Alikhani, M. ;

Fakhar, M. ;

Zafarani, J. .

ANALYSIS MATHEMATICA, 2020, 46 (01) :1-12

[2]

Aliprantis C.D., 2006, Positive Operators

[3]

CASTILLO J., 1993, REV MATH, V6, P43

[4] p-Converging operators and Dunford-Pettis property of order p [J].

Chen, Dongyang ;

Chavez-Dominguez, J. Alejandro ;

Li, Lei .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (02) :1053-1066

[5] ON THE p-SCHUR PROPERTY OF BANACH SPACES [J].

Dehghani, Mohammad B. ;

Moshtaghioun, S. Mohammad .

ANNALS OF FUNCTIONAL ANALYSIS, 2018, 9 (01) :123-136

[6]

Diestel J, 1984, GRADUATE TEXTS MATH, V92

[7]

DIESTEL J, 1995, CAMBRIDGE STUDIES AD, V43

[8] COMPACT-OPERATORS IN BANACH-LATTICES [J].

DODDS, PG ;

FREMLIN, DH .

ISRAEL JOURNAL OF MATHEMATICS, 1979, 34 (04) :287-320

[9]

DUNFORD N, 1958, PURE APPL MATH, V7

[10] The p-Gelfand-Phillips property in spaces of operators and Dunford-Pettis like sets [J].

Ghenciu, I. .

ACTA MATHEMATICA HUNGARICA, 2018, 155 (02) :439-457

← 1 2 →