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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 1, Pages 11–26
DOI: https://doi.org/10.4213/faa28 (Mi faa28) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Coherent Local Hyperbolicity of a Linear Extension and the Essential Spectra of a Weighted Shift Operator on a Closed Interval

A. B. Antonevichab

a Belarusian State University
b University of Bialystok
Full-text PDF (225 kB) Citations (12)
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DOI: https://doi.org/10.4213/faa28
Abstract: In the spaces $L_p$ of vector functions on a closed interval, weighted shift operators $B$ generated by diffeomorphisms of the interval are considered. The notion of coherent local hyperbolicity of the associated linear extension is introduced, and it is established that the closedness of the range of the operator $I-B$ is equivalent to coherent local hyperbolicity. On the basis of this result, the description of some essential spectra of the operator $B$ is given.
Keywords: weighted shift operator, essential spectrum, coherent local hyperbolicity.
Received: 03.05.2003
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 1, Pages 9–20
DOI: https://doi.org/10.1007/s10688-005-0013-9
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. B. Antonevich, “Coherent Local Hyperbolicity of a Linear Extension and the Essential Spectra of a Weighted Shift Operator on a Closed Interval”, Funktsional. Anal. i Prilozhen., 39:1 (2005), 11–26; Funct. Anal. Appl., 39:1 (2005), 9–20
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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