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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 5, Pages 1072–1078 (Mi smj1022)  
One criterion for nuclearity of linear operators

V. B. Korotkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We prove a criterion for nuclearity of a linear operator and establish the form of the greatest two-sided ideal of the set of all compact Akhiezer integral operators in $L_2$ and the set of all Akhiezer integral operators in $L_2$.
Keywords: nuclear operator, Hilbert–Schmidt integral operator, Carleman integral operator, Akhiezer integral operator, two-sided ideal.
Received: 05.04.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 5, Pages 857–862
DOI: https://doi.org/10.1007/s11202-005-0083-1
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: V. B. Korotkov, “One criterion for nuclearity of linear operators”, Sibirsk. Mat. Zh., 46:5 (2005), 1072–1078; Siberian Math. J., 46:5 (2005), 857–862
Citation in format AMSBIB
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\issue 5
\pages 1072--1078
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\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 5
\pages 857--862
\crossref{https://doi.org/10.1007/s11202-005-0083-1}
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    		Сибирский математический журнал Siberian Mathematical Journal
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