Generalized Notions of Amenability for Some Classes of lp-Munn Algebras

被引：0

作者：

Shariati Gazgazareh, Nasrin ^{[1
]}

Naseri, Saber ^{[1
]}

Ghaderi, Eghbal ^{[1
]}

Sahami, Amir ^{[2
]}

机构：

[1] Univ Kurdistan, Dept Math, Pasdaran Blvd,POB 416, Sanandaj 6617715175, Iran

[2] Ilam Univ, Fac Basic Sci, Dept Math, POB 69315-516, Ilam, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 02期

关键词：

Pseudo-amenability; Pseudo-contractibility; l(p)-Munn algebras; Upper triangular algebra;

D O I：

10.1007/s41980-021-00538-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that a matrix algebra LMIp(C) is pseudo-contractible if and only if I is finite. In addition, for each non-empty set I, we show that LMIp(C) is always pseudo-amenable. Amenability, approximate biprojectivity and approximate biflatness of upper triangular algebras with respect to LMIp(C) are discussed here, where 1 <= p <= 2.

引用

页码：693 / 699

页数：7

共 7 条

[1] Various notions of amenability in Banach algebras
Mewomo, O. T.
EXPOSITIONES MATHEMATICAE, 2011, 29 (03) : 283 - 299
[2] Generalized Notions of Amenability for Some Classes of ℓp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell ^p$$\end{document}-Munn Algebras
Nasrin Shariati Gazgazareh
Saber Naseri
Eghbal Ghaderi
Amir Sahami
Bulletin of the Iranian Mathematical Society, 2022, 48 (2) : 693 - 699
[3] ON GENERALIZED NOTIONS OF AMENABILITY AND OPERATOR HOMOLOGY OF THE FOURIER ALGEBRA
Nemati, Mehdi
QUARTERLY JOURNAL OF MATHEMATICS, 2017, 68 (03) : 781 - 789
[4] VARIOUS NOTIONS OF AMENABILITY FOR CERTAIN BANACH ALGEBRAS RELATED TO THE MULTIPLIERS
Sahami, A.
Shariati, S. F.
Pourabbas, A.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (02): : 107 - 118
[5] APPROXIMATE AMENABILITY OF SCHATTEN CLASSES, LIPSCHITZ ALGEBRAS AND SECOND DUALS OF FOURIER ALGEBRAS
Choi, Y.
Ghahramani, F.
QUARTERLY JOURNAL OF MATHEMATICS, 2011, 62 (01) : 39 - 58
[6] Counter examples for pseudo-amenability of some semigroup algebras
Sahami, Amir
ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2020, 19 (01) : 35 - 38
[7] SOME HOMOLOGICAL AND COHOMOLOGICAL NOTIONS ON T-LAU PRODUCT OF BANACH ALGEBRAS
Nemati, Mehdi
Javanshiri, Hossein
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2015, 9 (02) : 183 - 195

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