Contractions with countable spectra and unicity properties of closed countable sets of the circle
type: Item
instance of: scholarly article
title: Contractions with countable spectra and unicity properties of closed countable sets of the circle
zbMATH Open document ID: 0766.47002
author: Mohammad Zarrabi
publication date: 1993-06-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74991
review text: On montre que si \(T\) est une contraction à spectre dénombrable et telle que, pour tout \(\varepsilon>0\) \(\| T^{- 1}\|=O(e^{\varepsilon n^{1/2}})\) \((n\to+\infty)\), alors \(T\) est une isometrie. On montre aussi que ce résultat est lié à une propriété d'unicité forte des fermés dénombrable du cercle unité.
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 42A63
Mathematics Subject Classification ID: 43A45
zbMATH DE Number: 179556
zbMATH Keywords: contraction with countable spectrum
zbMATH Keywords: isometry
MaRDI profile type: Publication
OpenAlex ID: W2318374952
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DOI: 10.5802/AIF.1329
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 179556