Article contents
Uniqueness of the maximal ideal of operators on the ℓp-sum of ℓ∞n (n ∈
$\mathbb{N}$) for 1 < p < ∞
Published online by Cambridge University Press: 18 January 2016
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 = (⊕n∈$\mathbb{N}$ ℓ∞n)ℓ1 contains a unique maximal ideal. We show that the same conclusion holds true for the Banach spaces X = (⊕n∈
$\mathbb{N}$ ℓ∞n)ℓp and X = (⊕n∈
$\mathbb{N}$ ℓ1n)ℓp whenever p ∈ (1, ∞).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 160 , Issue 3 , May 2016 , pp. 413 - 421
- Copyright
- Copyright © Cambridge Philosophical Society 2016
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