Resumen de Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle

Youness Hadder, Abdelkhalek El Amrani

• Let A be a commutative complex semisimple Banach algebra. In this paper we continue the study of kh(soc(A)). Thus we will give, among other things, some new characterizations of this ideal in terms of the closure, in the spectral radius norm, of the socle of A.