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  • UniqueMaxIdealoflpsumoflinftyns

    Rights statement: 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.

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Uniqueness of the maximal ideal of operators on the ℓ p -sum of ℓ∞ n (n ∈ N) for 1 < p< ∞

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>05/2016
<mark>Journal</mark>Mathematical Proceedings of the Cambridge Philosophical Society
Issue number3
Volume160
Number of pages9
Pages (from-to)413-421
Publication StatusPublished
Early online date18/01/16
<mark>Original language</mark>English

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<∞.

Bibliographic note

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.