A note on M-ideals in certain algebras of operators

Let X=(∑n=1∞ℓ1n)p,   p>1. In this paper, we investigate M-ideals which are also ideals in L(X), the algebra of all bounded linear operators on X. We show that K(X), the ideal of compact operators on X is the only proper closed ideal in L(X) which is both an ideal and an M-ideal in L(X)....

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Detalhes bibliográficos
Principais autores: Chong-Man Cho, Woo Suk Roh
Formato: Artigo
Idioma:English
Publicado em: Wiley 2000-01-01
coleção:International Journal of Mathematics and Mathematical Sciences
Assuntos:
Acesso em linha:http://dx.doi.org/10.1155/S0161171200002246