Open AccessCharacterizations of a commutative semisimple modular annihilator Banach algebra through its socle
Author(s) -
Youness Hadder,
Abdelkhalek El Amrani
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-4459
Subject(s) - socle , mathematics , annihilator , commutative property , pure mathematics , closure (psychology) , algebra over a field , geology , inversion (geology) , political science , paleontology , structural basin , law
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.