Isometries and Hermitian Operators on Zygmund Spaces
Printed: Jun 2015
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.
Zygmund spaces, the little Zygmund space, Hermitian operators, surjective linear isometries, generators of one-parameter groups of surjective isometries
46E15 - Banach spaces of continuous, differentiable or analytic functions
47B15 - Hermitian and normal operators (spectral measures, functional calculus, etc.)
47B38 - Operators on function spaces (general)