Characterizations of a commutative semisimple modular annihilator Banach algebra through its socle
DOI:
https://doi.org/10.22199/issn.0717-6279-4459Keywords:
Commutative algebras, Socle, Inessential element, Completely continuous algebra, Modular annihilator algebraAbstract
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.
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