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Linear isometries on Banach spaces

Linear isometries on Banach spaces The aim of this paper is to describe the linear surjective isometries of a class of Banach spaces. In particular, we conclude a characterization of surjective isometries of the space of differentiable functions on compact perfect plane sets, space of Lipschitz functions on intervals, Bloch and Zygmund spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Linear isometries on Banach spaces

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Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-021-00616-y
Publisher site
See Article on Publisher Site

Abstract

The aim of this paper is to describe the linear surjective isometries of a class of Banach spaces. In particular, we conclude a characterization of surjective isometries of the space of differentiable functions on compact perfect plane sets, space of Lipschitz functions on intervals, Bloch and Zygmund spaces.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Mar 1, 2022

Keywords: Linear surjective isometry; Space of differentiable function; Bloch space; Zygmund space; Space of Lipschitz functions; 46B04; 46E15

References