[Banach] Abstract of a paper by Fernanda Botelho

This is an announcement for the paper "Isometries and Hermitian operators on Zygmund spaces" by Fernanda Botelho. 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. Archive classification: math.FA Mathematics Subject Classification: 46E15, 47B15, 47B38 Submitted from: mbotelho@memphis.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1409.5378 or http://arXiv.org/abs/1409.5378