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Maximal Ideals in Some Spaces of Bounded Linear Operators

Part of: Linear spaces and algebras of operators Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  01 February 2018

Denny H. Leung
Denny H. Leung*
Affiliation:
Department of Mathematics, National University of Singapore, Singapore119076 ([email protected])
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Abstract

We add to the list of Banach spaces X for which it is known that the space of bounded linear operators on X has a unique maximal ideal. In particular, the result holds if X is a subsymmetric direct sum of ℓp or of the Schlumprecht space S. We also show that two recently identified ideals in L(Jp), where Jp is the pth James space, each contains a unique maximal ideal.

Keywords

bounded linear operatorsmaximal ideal

MSC classification

Primary: 47L10: Algebras of operators on Banach spaces and other topological linear spaces 46H10: Ideals and subalgebras
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 1 , February 2018 , pp. 251 - 264
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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