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Isometries and Hermitian Operators on Zygmund spaces

Published 18 Sep 2014 in math.FA | (1409.5378v1)

Abstract: In this paper we characterize the isometries of subspaces of the little Zygmund space. We show that the isometries of these spaces are surjective and represented as integral operators. We also show that all hermitian operators on these settings are bounded.

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