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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 569–574 (Mi smj2107)  
The limit spectrum of a positive operator in $L_2$ that is integral on some subspace

V. B. Korotkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: Given a positive linear operator $S\colon L_2\to L_2$ integral on some dense subspace in $L_2$, we prove that 0 belongs to the limit spectrum of $S$.
Keywords: limit spectrum, positive operator, integral operator.
Received: 03.03.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 452–455
DOI: https://doi.org/10.1007/s11202-010-0046-z
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: V. B. Korotkov, “The limit spectrum of a positive operator in $L_2$ that is integral on some subspace”, Sibirsk. Mat. Zh., 51:3 (2010), 569–574; Siberian Math. J., 51:3 (2010), 452–455
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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