Kania, Tomasz and Laustsen, Niels
(2016)
*Uniqueness of the maximal ideal of operators on the ℓ p -sum of ℓ∞ n (n ∈ N ) for 1 < p< ∞.*
Mathematical Proceedings of the Cambridge Philosophical Society, 160 (3).
pp. 413-421.
ISSN 0305-0041

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Official URL: https://doi.org/10.1017/S0305004115000766

## Abstract

A recent result of Leung (Proceedings of the American Mathematical Society 2015) states that the Banach algebra B(X) of bounded, linear operators on the Banach space X which is the l1-direct sum of l∞n for n=1,2,... contains a unique maximal ideal. We show that the same conclusion holds true for the Banach space X which is the lp-direct sum of l∞n for n=1,2,... and its dual space X* whenever 1<p<∞.

Item Type:

Journal Article

Journal or Publication Title:

Mathematical Proceedings of the Cambridge Philosophical Society

Additional Information:

http://journals.cambridge.org/action/displayJournal?jid=PSP The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 160 (3), pp 413-421 2016, © 2016 Cambridge University Press.

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600

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ID Code:

75813

Deposited By:

Deposited On:

21 Oct 2015 04:59

Refereed?:

Yes

Published?:

Published

Last Modified:

04 Jul 2020 02:53