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The limit spectrum of a positive operator in L 2 that is integral on some subspace

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Abstract

Given a positive linear operator S: L 2 → L 2 integral on some dense subspace in L 2, we prove that 0 belongs to the limit spectrum of S.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    V. B. Korotkov

Authors
  1. V. B. Korotkov
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Original Russian Text Copyright © 2010 Korotkov V. B.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 3, pp. 569–574, May–June, 2010.

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Korotkov, V.B. The limit spectrum of a positive operator in L 2 that is integral on some subspace. Sib Math J 51, 452–455 (2010). https://doi.org/10.1007/s11202-010-0046-z

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  • DOI: https://doi.org/10.1007/s11202-010-0046-z

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