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Sbornik: Mathematics, 2001, Volume 192, Issue 4, Pages 577–591
DOI: https://doi.org/10.1070/sm2001v192n04ABEH000561 (Mi sm561) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Structure of spectra of linear operators in Banach spaces

O. G. Smolyanov, S. A. Shkarin

M. V. Lomonosov Moscow State University
English version PDF (224 kB) Citations (3)
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DOI: https://doi.org/10.1070/sm2001v192n04ABEH000561
Abstract: Descriptive characterizations of the point, the continuous, and the residual spectra of operators in Banach spaces are put forward. In particular, necessary and sufficient conditions for three disjoint subsets of the complex plane to be the point spectrum, the continuous spectrum, and the residual spectrum of a linear continuous operator in a separable Banach space are obtained.
Received: 14.12.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 4, Pages 99–114
DOI: https://doi.org/10.4213/sm561
Bibliographic databases:
UDC: 517.5
MSC: 35P05, 46B99, 47A10
Language: English
Original paper language: Russian
Citation: O. G. Smolyanov, S. A. Shkarin, “Structure of spectra of linear operators in Banach spaces”, Mat. Sb., 192:4 (2001), 99–114; Sb. Math., 192:4 (2001), 577–591
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    English version PDF:39
    References:82
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