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The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces

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

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The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces. / Beanland, Kevin; Kania, Tomasz; Laustsen, Niels Jakob.
In: Houston Journal of Mathematics, Vol. 45, No. 2, 01.09.2019, p. 553-566.

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

Harvard

Beanland, K, Kania, T & Laustsen, NJ 2019, 'The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces', Houston Journal of Mathematics, vol. 45, no. 2, pp. 553-566. <https://www.math.uh.edu/~hjm/Vol45-2.html>

APA

Beanland, K., Kania, T., & Laustsen, N. J. (2019). The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces. Houston Journal of Mathematics, 45(2), 553-566. Advance online publication. https://www.math.uh.edu/~hjm/Vol45-2.html

Vancouver

Beanland K, Kania T, Laustsen NJ. The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces. Houston Journal of Mathematics. 2019 Sept 1;45(2):553-566. Epub 2019 Sept 1.

Author

Beanland, Kevin ; Kania, Tomasz ; Laustsen, Niels Jakob. / The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces. In: Houston Journal of Mathematics. 2019 ; Vol. 45, No. 2. pp. 553-566.

Bibtex

@article{dc741bda69234409966ebc6d55a5f33b,
title = "The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces",
abstract = "We present two new examples of reflexive Banach spaces X for which the associated Banach algebra B(X) of bounded operators on X is not a Grothendieck space, namely X = T (the Tsirelson space) and X = Bp (the p'th Baernstein space) for 1<p<∞.",
keywords = "Banach space, Grothendieck space, Tsirelson space, Baernstein space, Bounded operator, diagonal operator",
author = "Kevin Beanland and Tomasz Kania and Laustsen, {Niels Jakob}",
year = "2019",
month = sep,
day = "1",
language = "English",
volume = "45",
pages = "553--566",
journal = "Houston Journal of Mathematics",
issn = "0362-1588",
publisher = "University of Houston",
number = "2",

}

RIS

TY - JOUR

T1 - The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces

AU - Beanland, Kevin

AU - Kania, Tomasz

AU - Laustsen, Niels Jakob

PY - 2019/9/1

Y1 - 2019/9/1

N2 - We present two new examples of reflexive Banach spaces X for which the associated Banach algebra B(X) of bounded operators on X is not a Grothendieck space, namely X = T (the Tsirelson space) and X = Bp (the p'th Baernstein space) for 1<p<∞.

AB - We present two new examples of reflexive Banach spaces X for which the associated Banach algebra B(X) of bounded operators on X is not a Grothendieck space, namely X = T (the Tsirelson space) and X = Bp (the p'th Baernstein space) for 1<p<∞.

KW - Banach space

KW - Grothendieck space

KW - Tsirelson space

KW - Baernstein space

KW - Bounded operator

KW - diagonal operator

M3 - Journal article

VL - 45

SP - 553

EP - 566

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

SN - 0362-1588

IS - 2

ER -