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math.FA2019
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 …
math.FA2019
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…