2 citations · 2 across the 3 of their papers we have counts for
5 papers
Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces
Max Arnott, Niels Jakob Laustsen
We classify the closed ideals of bounded operators acting on the Banach spaces and $\left(\bigoplus_{n \in…
Closed ideals of operators on the Tsirelson and Schreier spaces
Kevin Beanland, Tomasz Kania, Niels Jakob Laustsen
Let denote the Banach algebra of bounded operators on , where~ is either Tsirelson's Banach space or the Schreier space of order for some …
Vector lattices admitting a positively homogeneous continuous function calculus
Niels Jakob Laustsen, Vladimir G. Troitsky
We characterize the Archimedean vector lattices that admit a positively homogeneous continuous function calculus by showing that the following two conditions are equivalent for eac…
Subspaces that can and cannot be the kernel of a bounded operator on a Banach space
Niels Jakob Laustsen, Jared T. White
Given a Banach space , we ask which closed subspaces may be realised as the kernel of a bounded operator . We prove some positive results which imply in particu…
The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces
Kevin Beanland, Tomasz Kania, Niels Jakob Laustsen
We present two new examples of reflexive Banach spaces for which is not a Grothendieck space, namely (the Tsirelson space) and (the $p^{\text…