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

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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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
Subjects:
ID Code:
75813
Deposited By:
Deposited On:
21 Oct 2015 04:59
Refereed?:
Yes
Published?:
Published
Last Modified:
04 Jul 2020 02:53