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Bibliographic Details
Main Author: Buchała, Michał
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.07252
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Table of Contents:
  • The aim of this paper is to obtain $ m $-isometric dilation of expansive $ m $-concave operator on Hilbert space. The obtained dilation is shown to be minimal. The matrix representation of this dilation is given. It is also proved that in case of 3-concave operators the assumption on expansivity is not necessary. The paper contains an example showing that minimal $ m $-isometric dilations may not be isomorphic.