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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm561https://doi.org/10.1070/sm2001v192n04ABEH000561 https://www.mathnet.ru/eng/sm/v192/i4/p99
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Abstract page: | 633 | Russian version PDF: | 286 | English version PDF: | 39 | References: | 82 | First page: | 2 |
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