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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1970 Volume 8, Issue 5, Pages 653–661 (Mi mzm7013)

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).

UDC: 513.88

Received: 22.09.1969


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

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