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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.
Analysis and Mathematical Physics – Springer Journals
Published: Mar 1, 2022
Keywords: Linear surjective isometry; Space of differentiable function; Bloch space; Zygmund space; Space of Lipschitz functions; 46B04; 46E15
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