Abstract
We introduce a class G of completely continuous operators and prove theorems on the spectral structure of these operators. In particular, operators of this class are similar to model operators in de Branges spaces.
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References
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 43, No. 2, pp. 75–79, 2009
Original Russian Text Copyright © by G. M. Gubreev and G. V. Lukashenko
The paper is written in the framework of the state budget theme No. 0107U000937 (Ukraine).
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Gubreev, G.M., Lukashenko, G.V. On a class of completely continuous operators in Hilbert spaces. Funct Anal Its Appl 43, 143–146 (2009). https://doi.org/10.1007/s10688-009-0019-9
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DOI: https://doi.org/10.1007/s10688-009-0019-9