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    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

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Uniqueness of the maximal ideal of operators on the ℓ p -sum of ℓ∞ n (n ∈ N) for 1 < p< ∞. / Kania, Tomasz; Laustsen, Niels.
In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 160, No. 3, 05.2016, p. 413-421.

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

Harvard

Kania, T & Laustsen, N 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, vol. 160, no. 3, pp. 413-421. https://doi.org/10.1017/S0305004115000766

APA

Kania, T., & Laustsen, N. (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), 413-421. https://doi.org/10.1017/S0305004115000766

Vancouver

Kania T, Laustsen N. 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. 2016 May;160(3):413-421. Epub 2016 Jan 18. doi: 10.1017/S0305004115000766

Author

Kania, Tomasz ; Laustsen, Niels. / Uniqueness of the maximal ideal of operators on the ℓ p -sum of ℓ∞ n (n ∈ N) for 1 < p< ∞. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2016 ; Vol. 160, No. 3. pp. 413-421.

Bibtex

@article{a70f141d8ea94c47a776906971c0deb2,
title = "Uniqueness of the maximal ideal of operators on the ℓ p -sum of ℓ∞ n (n ∈ N) for 1 < p< ∞",
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<∞.",
keywords = "Banach algebra , maximal ideal, bounded, linear operator, Banach sequence space",
author = "Tomasz Kania and Niels Laustsen",
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, {\textcopyright} 2016 Cambridge University Press.",
year = "2016",
month = may,
doi = "10.1017/S0305004115000766",
language = "English",
volume = "160",
pages = "413--421",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Uniqueness of the maximal ideal of operators on the ℓ p -sum of ℓ∞ n (n ∈ N) for 1 < p< ∞

AU - Kania, Tomasz

AU - Laustsen, Niels

N1 - 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.

PY - 2016/5

Y1 - 2016/5

N2 - 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<∞.

AB - 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<∞.

KW - Banach algebra

KW - maximal ideal

KW - bounded, linear operator

KW - Banach sequence space

U2 - 10.1017/S0305004115000766

DO - 10.1017/S0305004115000766

M3 - Journal article

VL - 160

SP - 413

EP - 421

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 3

ER -