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The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces
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The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces
classification
math.FA
keywords
spacespacesbaernsteingrothendiecktsirelsonalgebrasbanachbounded
read the original abstract
We present two new examples of reflexive Banach spaces $X$ for which $\mathscr{B}(X)$ is not a Grothendieck space, namely $X = T$ (the Tsirelson space) and $X = B_p$ (the $p^{\text{th}}$ Baernstein space) for $p\in(1,\infty)$.
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