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Matematicheskie Zametki, 1977, Volume 22, Issue 4, Pages 495–498 (Mi mzm8070)  
Spectrum of a linear operator in a family of banach spaces containing Hilbert space

V. V. Shevchik

Simferopol State University
Full-text PDF (284 kB)
Abstract: The mutual relation is established between the spectra of a bounded linear operator acting in a family of Banach spaces. It is assumed in addition that one of the spaces is a Hilbert space and that the operator acting on it is self-adjoint. An example is presented illustrating the properties proved.
Received: 03.10.1975
English version:
Mathematical Notes, 1977, Volume 22, Issue 3, Pages 767–769
DOI: https://doi.org/10.1007/BF01146420
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: V. V. Shevchik, “Spectrum of a linear operator in a family of banach spaces containing Hilbert space”, Mat. Zametki, 22:4 (1977), 495–498; Math. Notes, 22:3 (1977), 767–769
Citation in format AMSBIB
\Bibitem{She77}
\by V.~V.~Shevchik
\paper Spectrum of a~linear operator in a~family of banach spaces containing Hilbert space
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 4
\pages 495--498
\mathnet{http://mi.mathnet.ru/mzm8070}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=482286}
\zmath{https://zbmath.org/?q=an:0375.47004}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 3
\pages 767--769
\crossref{https://doi.org/10.1007/BF01146420}
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