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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 107, Pages 89–103 (Mi znsl3417)  
The spectral properties of weighted homomorphisms in algebras of continuous functions and their applications

A. K. Kitover
Full-text PDF (1129 kB)
Abstract: A complete description of spectra of noninvertible weighted translation operators in spaces of continuous functions is given. This description yields a criterion of connectedness of the set of positive eigenvalues of a positive operator acting in a space ordered by a cone with an interior point. Some spectral properties of weighted translation operators in uniform algebras are obtained as well.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 3, Pages 352–362
DOI: https://doi.org/10.1007/BF01839607
Bibliographic databases:
Language: Russian
Citation: A. K. Kitover, “The spectral properties of weighted homomorphisms in algebras of continuous functions and their applications”, Investigations on linear operators and function theory. Part X, Zap. Nauchn. Sem. LOMI, 107, "Nauka", Leningrad. Otdel., Leningrad, 1982, 89–103; J. Soviet Math., 36:3 (1987), 352–362
Citation in format AMSBIB
\Bibitem{Kit82}
\by A.~K.~Kitover
\paper The spectral properties of weighted homomorphisms in algebras of continuous functions and their applications
\inbook Investigations on linear operators and function theory. Part~X
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 107
\pages 89--103
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=676151}
\zmath{https://zbmath.org/?q=an:0549.47017|0613.47027}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 3
\pages 352--362
\crossref{https://doi.org/10.1007/BF01839607}
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