Volume no :19, Issue no: 1, February (2018)

Journal of Pure and Applied Mathematics: Advances and Applications

ON DERIVATIONS IN SEMISIMPLE BANACH ALGEBRAS

Author's: Abdul Nadim Khan and Mohd Arif Raza
Pages: [37] - [46]
Received Date: December 14, 2017; Revised February 12, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121909

Abstract

The objective of the present paper is to prove the following result: Let A be a unital semisimple Banach algebra and and be open subsets of A such that for each and there is an integer If A admits a linear derivation such that either or then Moreover, other related results are obtained.

Keywords

semisimple Banach algebra, linear derivation.