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bounded linear operators

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

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
Denny H. Leung
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 61 / Issue 1 / February 2018

Published online by Cambridge University Press:

01 February 2018, pp. 251-264
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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.