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Mat. Zametki, 1970, Volume 8, Issue 5, Pages 653–661 (Mi mz7013)  

Characteristic properties of strong integral and strong $B$-integral self-adjoint operators

V. B. Korotkov

Institute of Mathematics, Siberian Branch of the USSR Academy of Sciences

Abstract: A proof that a strong integral (strong B-integral) self-adjoint operator in $L_2(a, b)$ is a Hilbert-Schmidt operator (a kernel operator).

Full text: PDF file (579 kB)

English version:
Mathematical Notes, 1970, 8:5, 838–842

Bibliographic databases:

UDC: 513.88
Received: 22.09.1969

Citation: V. B. Korotkov, “Characteristic properties of strong integral and strong $B$-integral self-adjoint operators”, Mat. Zametki, 8:5 (1970), 653–661; Math. Notes, 8:5 (1970), 838–842

Citation in format AMSBIB
\Bibitem{Kor70}
\by V.~B.~Korotkov
\paper Characteristic properties of strong integral and strong $B$-integral self-adjoint operators
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 5
\pages 653--661
\mathnet{http://mi.mathnet.ru/mz7013}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=278134}
\zmath{https://zbmath.org/?q=an:0216.16701|0213.14701}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 5
\pages 838--842
\crossref{https://doi.org/10.1007/BF01146942}


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