English

Isometries and Hermitian Operators on Zygmund spaces

Functional Analysis 2019-08-15 v1

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.

Keywords

Cite

@article{arxiv.1409.5378,
  title  = {Isometries and Hermitian Operators on Zygmund spaces},
  author = {Fernanda Botelho},
  journal= {arXiv preprint arXiv:1409.5378},
  year   = {2019}
}