نتایج جستجو برای: arens product

تعداد نتایج: 280243  

2008
Matthew Daws

The Arens products are the standard way of extending the product from a Banach algebra A to its bidual A′′. Ultrapowers provide another method which is more symmetric, but one that in general will only give a bilinear map, which may not be associative. We show that if A is Arens regular, then there is at least one way to use an ultrapower to recover the Arens product, a result previously known ...

Journal: :journal of linear and topological algebra (jlta) 0
a zivari-kazempour department of mathematics, university of ayatollah borujerdi, borujerd, iran

let $mathcal{a}$ be a banach algebra with bai and $e$ be an introverted subspace of $mathcal{a'}$.in this paper we study the quotient arens regularity of $mathcal{a}$ with respect to $e$ and prove that the group algebra $l^1(g)$ for a locally compact group $g$, is quotient arens regular with respect to certain introverted subspace $e$ of $l^infty(g)$.some related result are given as well.

Journal: :bulletin of the iranian mathematical society 2011
s. barootkoob s. mohammadzadeh h. r. e. vishki

2006
M. ESHAGHI A. R. HOSSEINIOUN

Let A be a Banach algebra. Then A the second dual of A is a Banach algebra with first (second) Arens product. We study the Arens products of A(= (A∗∗)∗∗). We fined some conditions on A to be a left ideal in A. We fined the biggest two sided ideal I of A, in which I is a left (right) ideal of A∗∗.

Journal: :Facta Universitatis 2021

In this paper, we study approximate identity properties, some propositions from Baker, Dales, Lau in general situations and establish relationships between the topological centers of module actions factorization properties with results group algebras. We consider under which sufficient necessary conditions Banach algebra $A\widehat{\otimes}B$ is Arens regular.

Journal: :Proceedings of the American Mathematical Society 1971

Journal: :Proceedings of the American Mathematical Society 1985

Journal: :Proceedings of the American Mathematical Society 1973

1999
M. FILALI Palle E. T. Jorgensen

Let G be a locally compact group, let L1(G) be its group algebra, let M(G) be its usual measure algebra, let L1(G)∗∗ be the second dual of L1(G) with an Arens product, and let LUC(G)∗ be the conjugate of the space LUC(G) of bounded, left uniformly continuous, complex-valued functions on G with an Arens-type product. We find all the finite-dimensional left ideals of these algebras. We deduce tha...

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