Bolletino dell Unione Matematica Italiana, Volume (12), No (4), Year (2019-12) , Pages (569-574)

Title : ( The bidual of a Banach algebra associated with a bilinear map )

Authors: Sedigheh Barootkoob , aminallah khosravi , Hamid Reza Ebrahimi Vishki ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

‎We associate a Banach algebra $\\\\\\\\\\\\\\\\A_\\\\\\\\\\\\\\\\Phi$ to each bounded bilinear map $\\\\\\\\\\\\\\\\Phi‎: ‎\\\\\\\\\\\\\\\\X\\\\\\\\\\\\\\\\times \\\\\\\\\\\\\\\\Y\\\\\\\\\\\\\\\\rightarrow \\\\\\\\\\\\\\\\Z$ on Banach spaces‎, ‎and we find out that this Banach algebra can be useful for many purposes in the theory of Banach algebras‎. ‎For example‎, ‎the construction of $\\\\\\\\\\\\\\\\A_\\\\\\\\\\\\\\\\Phi$ enables us to provide many simple examples of Banach algebras with different topological centers‎, ‎which are neither Arens‎ ‎regular nor either left or right strongly Arens irregular‎. ‎It also gives examples of Banach algebras which are not $n-$weakly amenable for each natural number $n.$ We also find out that the dual of $\\\\\\\\\\\\\\\\A_\\\\\\\\\\\\\\\\Phi$ does not enjoy the factorization property of any level‎.

Keywords

Bidual; Arens product; Bilinear map; Topological center; Weak amenability
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1074975,
author = {صدیقه باروط کوب and Khosravi, Aminallah and Ebrahimi Vishki, Hamid Reza},
title = {The bidual of a Banach algebra associated with a bilinear map},
journal = {Bolletino dell Unione Matematica Italiana},
year = {2019},
volume = {12},
number = {4},
month = {December},
issn = {1972-6724},
pages = {569--574},
numpages = {5},
keywords = {Bidual; Arens product; Bilinear map; Topological center; Weak amenability},
}

[Download]

%0 Journal Article
%T The bidual of a Banach algebra associated with a bilinear map
%A صدیقه باروط کوب
%A Khosravi, Aminallah
%A Ebrahimi Vishki, Hamid Reza
%J Bolletino dell Unione Matematica Italiana
%@ 1972-6724
%D 2019

[Download]