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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2016 Volume 57, Number 2, Pages 373–387 (Mi smj2751)

Measure compact, almost compact, and integral operators of the first, second, and third kind

V. B. Korotkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: Under study are the metric, algebraic, spectral, and characteristic properties of measure compact, almost compact, and integral operators of the first, second, and third kind in spaces of integrable functions.

Keywords: measure compact operator, almost compact operator, integral operator, Carleman integral operator, Hilbert–Schmidt operator, nuclear operator, spectrum, limit spectrum.

UDC: 517.983

Received: 30.05.2015

DOI: 10.17377/smzh.2016.57.212


 English version:
Siberian Mathematical Journal, 2016, 57:2, 292–302

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© Steklov Math. Inst. of RAS, 2025