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math.FA2017
Operator ideals and three-space properties of asymptotic ideal seminorms
Ryan M. Causey, Szymon Draga, Tomasz Kochanek
We introduce asymptotic analogues of the Rademacher and martingale type and cotype of Banach spaces and operators acting on them. Some classical local theory results related, for e…
math.FA2017
When is multiplication in a Banach algebra open?
Szymon Draga, Tomasz Kania
We develop the theory of Banach algebras whose multiplication (regarded as a bilinear map) is open. We demonstrate that such algebras must have topological stable rank 1, however t…