Stability of cosine type functional equations onmodule extension Banach algebras

Volume 1, Issue 1 - Serial Number 1
Journal of Mathematical Analysis and its Contemporary Applications
Winter 2019
Pages 44-49

Document Type : Original Article

Author

Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran.

Abstract
Let A be a Banach algebra and X be a Banach A-bimodule. In this paper we investigate the stability of the cosine type functional equation
φ(ab,a·y+x·b)=φ(ab,x·b-a·y)=2φ(a,x)φ(b,y),
on module extension Banach algebra U=A+X.

Keywords

  • Receive Date 06 July 2019
  • Revise Date 13 September 2019
  • Accept Date 29 September 2019