Home > Research > Publications & Outputs > The algebras of bounded operators on the Tsirel...

Associated organisational unit

Electronic data

Links

View graph of relations

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

Research output: Contribution to Journal/MagazineJournal articlepeer-review

E-pub ahead of print
Close
<mark>Journal publication date</mark>1/09/2019
<mark>Journal</mark>Houston Journal of Mathematics
Issue number2
Volume45
Number of pages13
Pages (from-to)553-566
Publication StatusE-pub ahead of print
Early online date1/09/19
<mark>Original language</mark>English

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<∞.