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

Beanland, Kevin and Kania, Tomasz and Laustsen, Niels Jakob (2019) The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces. Houston Journal of Mathematics, 45 (2). pp. 553-566. ISSN 0362-1588

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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<∞.

Item Type:

Journal Article

Journal or Publication Title:

Houston Journal of Mathematics

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? banach spacegrothendieck spacetsirelson space baernstein spacebounded operatordiagonal operatorgeneral mathematicsmathematics(all)discipline-based research ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

89375

Deposited By:

ep_importer_pure

Deposited On:

20 Dec 2017 16:36

Refereed?:

Yes

Published?:

Published

Last Modified:

08 Nov 2024 01:25

URI:

https://eprints.lancs.ac.uk/id/eprint/89375