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math.FA2009
No return to convexity
Jakub Onufry Wojtaszczyk
In the paper we study closures of classes of log--concave measures under taking weak limits, linear transformations and tensor products. We consider what uniform measures on convex…
math.FA2008
A series whose sum range is an arbitrary finite set
Jakub Onufry Wojtaszczyk
In finitely-dimensional spaces the sum range of a series has to be an affine subspace. It is long known this is not the case in infinitely dimensional Banach spaces. In particular…