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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 373–387
DOI: https://doi.org/10.17377/smzh.2016.57.212 (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
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DOI: https://doi.org/10.17377/smzh.2016.57.212
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.
Received: 30.05.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 292–302
DOI: https://doi.org/10.1134/S0037446616020129
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: V. B. Korotkov, “Measure compact, almost compact, and integral operators of the first, second, and third kind”, Sibirsk. Mat. Zh., 57:2 (2016), 373–387; Siberian Math. J., 57:2 (2016), 292–302
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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