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On Invertible m-isometrical Extension of an m-isometry
Journal article   Open access  Peer reviewed

On Invertible m-isometrical Extension of an m-isometry

T. Bermudez, A. Martinon, Muller and H. Zaway
Resultate der Mathematik, Vol.77(6)
01/12/2022
DOI: https://doi.org/10.1007/s00025-022-01765-7

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We give necessary and sufficient conditions on an m-isometry to have an invertible m-isometrical extension. As particular cases, we give a useful characterization for a general m-isometrical unilateral weighted shift and for l-Jordan isometries. In particular, every l-Jordan isometry operator has an invertible (2l - 1)-isometrical extension.
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https://doi.org/10.1007/s00025-022-01765-7View
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