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math.FA2015★ 4 cited
Two proofs of Størmer's theorem
Guillaume Aubrun, Stanisław J. Szarek
The structure of the set of positivity-preserving maps between matrix algebras is notoriously difficult to describe. The notable exceptions are the results by Størmer and Woronowic…
math.FA2015
Catalysis in the trace class and weak trace class ideals
Guillaume Aubrun, Fedor Sukochev, Dmitriy Zanin
Given operators in some ideal in the algebra of all bounded operators on a separable Hilbert space , can we give conditions guaranteeing the…