Biderivations and Commuting Linear Maps on Topologically Simple ℒ∗-Algebras

Let ℒ be a topologically simple ℒ∗-algebra of arbitrary dimension. In this paper, we introduce the notion of semi-inner biderivation in order to prove that every continuous commuting linear mapping on ℒ is a scalar multiple of the identity mapping.

Bibliographic Details

Published in:	International journal of mathematics and mathematical sciences 2021, Vol.2021, p.1-6
Main Author:	Ben Yahya, Abdelaziz
Format:	Article
Language:	eng
Subjects:	Algebra Commuting Decomposition Hilbert space Mapping
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!