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Matematicheskie Zametki, 2007, Volume 82, Issue 5, Pages 652–664
DOI: https://doi.org/10.4213/mzm4080 (Mi mzm4080) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Invertible Contractions of Quotients Generated by a Differential Expression and by a Nonnegative Operator Function

V. M. Bruk

Saratov State Technical University
Full-text PDF (497 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm4080
Abstract: In the present paper, we describe invertible contractions of the maximal quotient generated by a differential expression with bounded operator coefficients and by a nonnegative operator function. We show that the operators inverse to such contractions are integral operators and prove a criterion for such operators to be holomorphic. Using the results obtained, we describe the generalized resolvents of symmetric quotients.
Keywords: invertible contraction, integral operator, holomorphic operator, operator function, Hilbert space, self-adjoint operator, Borel measurable function.
Received: 15.04.2005
Revised: 17.03.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 5, Pages 583–595
DOI: https://doi.org/10.1134/S0001434607110028
Bibliographic databases:
UDC: 517.983.53
Language: Russian
Citation: V. M. Bruk, “On Invertible Contractions of Quotients Generated by a Differential Expression and by a Nonnegative Operator Function”, Mat. Zametki, 82:5 (2007), 652–664; Math. Notes, 82:5 (2007), 583–595
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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