Delta-Sincov mappings in Banach algebras

Abstract

Abstract We study solutions and approximate solutions of the multiplicative Sincov equation T ( f , h ) = T ( f , g ) T ( g , h ) $$ T(f, h) = T(f, g)T(g, h) $$ for mapping T taking values in a commutative Banach algebra.

Keywords

• Sincov equation
• Commutative Banach algebra
• Semisimple Banach algebra
• C ∗ $C^{*}$ -algebra
• Grüss-type inequality