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    Rights statement: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Quarterly Journal of Mathematics following peer review. The definitive publisher-authenticated version Jared T White; The radical of the bidual of a Beurling algebra, The Quarterly Journal of Mathematics, Volume 69, Issue 3, 1 September 2018, Pages 975–993, https://doi.org/10.1093/qmath/hay003 is available online at: https://academic.oup.com/qjmath/article/69/3/975/4925263

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The Radical of the Bidual of a Beurling Algebra

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

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The Radical of the Bidual of a Beurling Algebra. / White, Jared.
In: The Quarterly Journal of Mathematics, Vol. 69, No. 3, 01.09.2018, p. 975-993.

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

Harvard

White, J 2018, 'The Radical of the Bidual of a Beurling Algebra', The Quarterly Journal of Mathematics, vol. 69, no. 3, pp. 975-993. https://doi.org/10.1093/qmath/hay003

APA

White, J. (2018). The Radical of the Bidual of a Beurling Algebra. The Quarterly Journal of Mathematics, 69(3), 975-993. https://doi.org/10.1093/qmath/hay003

Vancouver

White J. The Radical of the Bidual of a Beurling Algebra. The Quarterly Journal of Mathematics. 2018 Sept 1;69(3):975-993. Epub 2018 Mar 9. doi: 10.1093/qmath/hay003

Author

White, Jared. / The Radical of the Bidual of a Beurling Algebra. In: The Quarterly Journal of Mathematics. 2018 ; Vol. 69, No. 3. pp. 975-993.

Bibtex

@article{334afab74a5d4894bd8e0ea02afd7667,
title = "The Radical of the Bidual of a Beurling Algebra",
abstract = "We prove that the bidual of a Beurling algebra on Z , considered as a Banach algebra with the first Arens product, can never be semisimple. We then show that rad(ℓ1(⊕∞i=1Z)'') contains nilpotent elements of every index. Each of these results settles a question of Dales and Lau. Finally we show that there exists a weight ω on Z such that the bidual of ℓ1(Z,ω) contains a radical element which is not nilpotent.",
author = "Jared White",
note = "This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Quarterly Journal of Mathematics following peer review. The definitive publisher-authenticated version Jared T White; The radical of the bidual of a Beurling algebra, The Quarterly Journal of Mathematics, Volume 69, Issue 3, 1 September 2018, Pages 975–993, https://doi.org/10.1093/qmath/hay003 is available online at: https://academic.oup.com/qjmath/article/69/3/975/4925263",
year = "2018",
month = sep,
day = "1",
doi = "10.1093/qmath/hay003",
language = "English",
volume = "69",
pages = "975--993",
journal = "The Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
number = "3",

}

RIS

TY - JOUR

T1 - The Radical of the Bidual of a Beurling Algebra

AU - White, Jared

N1 - This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Quarterly Journal of Mathematics following peer review. The definitive publisher-authenticated version Jared T White; The radical of the bidual of a Beurling algebra, The Quarterly Journal of Mathematics, Volume 69, Issue 3, 1 September 2018, Pages 975–993, https://doi.org/10.1093/qmath/hay003 is available online at: https://academic.oup.com/qjmath/article/69/3/975/4925263

PY - 2018/9/1

Y1 - 2018/9/1

N2 - We prove that the bidual of a Beurling algebra on Z , considered as a Banach algebra with the first Arens product, can never be semisimple. We then show that rad(ℓ1(⊕∞i=1Z)'') contains nilpotent elements of every index. Each of these results settles a question of Dales and Lau. Finally we show that there exists a weight ω on Z such that the bidual of ℓ1(Z,ω) contains a radical element which is not nilpotent.

AB - We prove that the bidual of a Beurling algebra on Z , considered as a Banach algebra with the first Arens product, can never be semisimple. We then show that rad(ℓ1(⊕∞i=1Z)'') contains nilpotent elements of every index. Each of these results settles a question of Dales and Lau. Finally we show that there exists a weight ω on Z such that the bidual of ℓ1(Z,ω) contains a radical element which is not nilpotent.

U2 - 10.1093/qmath/hay003

DO - 10.1093/qmath/hay003

M3 - Journal article

VL - 69

SP - 975

EP - 993

JO - The Quarterly Journal of Mathematics

JF - The Quarterly Journal of Mathematics

SN - 0033-5606

IS - 3

ER -