Pseudo-n-multipliers and pseudo-n-Jordan multipliers

Abstract

Abstract In this paper, we introduce the concepts of pseudo-n-multiplier and pseudo-n-Jordan multiplier on Banach algebras and compare those with the classical notions of n-multiplier and n-Jordan multiplier. We show that under special hypotheses every pseudo- ( n + 1 ) {(n+1)} -Jordan multiplier is a pseudo-n-Jordan multiplier and vice versa.