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math.FA2019
An invariant variant of the little Grothendieck theorem for Sobolev spaces
Krystian Kazaniecki, Piotr Pakosz, Michał Wojciechowski
We prove that every Hilbert space operator which factorizes invariantly through Sobolev space belongs to some non-trivial Schatten class.
math.FA2019
Hoeffding decomposition in spaces
Maciej Rzeszut, Michał Wojciechowski
The well known result of Bourgain and Kwapień states that the projection onto the subspace of the Hilbert space spanned by functions depende…
math.FA2019
Spectrally reasonable measures II
Przemysław Ohrysko, Michał Wojciechowski
A measure on a locally compact Abelian group is said to have a natural spectrum if its spectrum is equal to the closure of the range of the Fourier-Stieltjes transform. In this pap…