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Isometries and Hermitian Operators on Zygmund Spaces

Published online by Cambridge University Press:  20 November 2018

Fernanda Botelho
Fernanda Botelho*
Affiliation:
Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, USA. e-mail: [email protected]
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Abstract

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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

46E1547B1547B38Zygmund spacesthe little Zygmund spaceHermitian operatorssurjective linear isometriesgenerators of one-parameter groups of surjective isometries
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 2 , 01 June 2015 , pp. 241 - 249
Copyright
Copyright © Canadian Mathematical Society 2015

References

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