Isometries and Hermitian Operators on Zygmund Spaces

Author:

Botelho Fernanda

Abstract

AbstractIn 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

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Surjective isometries on a Banach space of analytic functions with bounded derivatives;Acta Scientiarum Mathematicarum;2023-03-04

2. Linear isometries on Banach spaces;Analysis and Mathematical Physics;2021-11-09

3. Symmetries of Projective Spaces and Spheres;International Mathematics Research Notices;2018-05-17

4. Algebraic and topological properties of the group of isometries on classes of vector valued function spaces;Banach Journal of Mathematical Analysis;2015

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