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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 1, Pages 131–145
DOI: https://doi.org/10.1070/IM1969v003n01ABEH000753 (Mi im2126) 		 
Self-adjoint quadratic bundles

E. A. Larionov
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DOI: https://doi.org/10.1070/IM1969v003n01ABEH000753
Abstract: The present article contains a study of the properties of the self-adjoint quadratic bundle
$$ Q(\lambda)=\lambda^2{I}+\lambda B+C $$
and the associated quadratic operator equation
$$ Z^2+BZ+C=0. $$
The theorems obtained are applied to a number of problems in mathematical physics.
Received: 20.05.1968
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 1, Pages 138–154
Bibliographic databases:
UDC: 517.9
MSC: 47B25, 47B32, 47A10, 47B40
Language: English
Original paper language: Russian
Citation: E. A. Larionov, “Self-adjoint quadratic bundles”, Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969), 138–154; Math. USSR-Izv., 3:1 (1969), 131–145
Citation in format AMSBIB
\Bibitem{Lar69}
\by E.~A.~Larionov
\paper Self-adjoint quadratic bundles
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 1
\pages 138--154
\mathnet{http://mi.mathnet.ru/im2126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=254640}
\zmath{https://zbmath.org/?q=an:0194.16903}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 1
\pages 131--145
\crossref{https://doi.org/10.1070/IM1969v003n01ABEH000753}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:82
    English version PDF:1
    References:38
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