Characterization of Additive Function in Hermitian Banach *-Algebras

Authors

  • Goutam Das Department of Mathematics, Gauhati University, Guwahati-781014, India.
  • Nilakshi Goswami Department of Mathematics, Gauhati University, Guwahati-781014, India.

DOI:

https://doi.org/10.9734/bpi/mcscd/v1/970

Keywords:

Hermitian Banach *-algebra, projective tensor product, additive function

Abstract

The aim of this paper is to give some new charaterizations of additive functions in the tensor product of two hermitian Banach *-algebras. Our results extend Vukman’s work on Cauchy functional equation in hermitian Banach *-algebras to the projective tensor product. An example is provided in support of our result.

Published

2024-07-20

How to Cite

Goutam Das, & Nilakshi Goswami. (2024). Characterization of Additive Function in Hermitian Banach *-Algebras. Mathematics and Computer Science: Contemporary Developments Vol. 1, 96–110. https://doi.org/10.9734/bpi/mcscd/v1/970