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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 107, Pages 189–192 (Mi znsl3424)  

Short communications

Duality in spectral optimization and numerical ranges of a family of self-adjoint operators

Yu. Sh. Abramov
Abstract: It is shown that the main condition under which the duality relation is valid in the problems of spectral optimization is related to the numerical ranges of a family of self-adjoint operators.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 3, Pages 414–416
DOI: https://doi.org/10.1007/BF01839614
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: Yu. Sh. Abramov, “Duality in spectral optimization and numerical ranges of a family of self-adjoint operators”, Investigations on linear operators and function theory. Part X, Zap. Nauchn. Sem. LOMI, 107, "Nauka", Leningrad. Otdel., Leningrad, 1982, 189–192; J. Soviet Math., 36:3 (1987), 414–416
Citation in format AMSBIB
\Bibitem{Abr82}
\by Yu.~Sh.~Abramov
\paper Duality in spectral optimization and numerical ranges of a~family of self-adjoint operators
\inbook Investigations on linear operators and function theory. Part~X
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 107
\pages 189--192
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3424}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=676158}
\zmath{https://zbmath.org/?q=an:0531.49005|0611.49009}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 3
\pages 414--416
\crossref{https://doi.org/10.1007/BF01839614}
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