Structure of spectra of linear operators in Banach spaces

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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.
Original languageEnglish
Pages (from-to)577-591
Number of pages15
JournalSbornik Mathematics
Volume192
Issue number3-4
Publication statusPublished - 2001

ASJC Scopus subject areas

  • Algebra and Number Theory

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