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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
References:
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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Linking options:
  • https://www.mathnet.ru/eng/sm561
  • https://doi.org/10.1070/sm2001v192n04ABEH000561
  • https://www.mathnet.ru/eng/sm/v192/i4/p99
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:633
    Russian version PDF:286
    English version PDF:39
    References:82
    First page:2
     
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