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Matematicheskie Zametki, 1998, Volume 63, Issue 6, Pages 866–872
DOI: https://doi.org/10.4213/mzm1357 (Mi mzm1357) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Coherent trace-class operators in Hilbert couples

V. I. Ovchinnikov

Voronezh State University
Full-text PDF (191 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm1357
Abstract: In this paper it is proved that the ideal of trace-class operators acting in a couple of Hilbert spaces coincides with the ideal of coherent trace-class operators. A new formula is derived for the K-functional in the couple of algebras of all bounded linear operators acting in a Hilbert couple, and new interpolation theorems are proved for trace class operators.
Received: 11.11.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 6, Pages 764–769
DOI: https://doi.org/10.1007/BF02312770
Bibliographic databases:
UDC: 517.982.27
Language: Russian
Citation: V. I. Ovchinnikov, “Coherent trace-class operators in Hilbert couples”, Mat. Zametki, 63:6 (1998), 866–872; Math. Notes, 63:6 (1998), 764–769
Citation in format AMSBIB
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\by V.~I.~Ovchinnikov
\paper Coherent trace-class operators in Hilbert couples
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\yr 1998
\vol 63
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\pages 866--872
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\transl
\jour Math. Notes
\yr 1998
\vol 63
\issue 6
\pages 764--769
\crossref{https://doi.org/10.1007/BF02312770}
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  • https://www.mathnet.ru/eng/mzm1357
  • https://doi.org/10.4213/mzm1357
  • https://www.mathnet.ru/eng/mzm/v63/i6/p866
    • This publication is cited in the following 4 articles:
    1. Mikhail Kabanko, “On invertibility of some classes of operators in weighted Hilbert spaces”, Adv. Oper. Theory, 7:2 (2022)  crossref
    2. Dietmar Vogt, “On the splitting relation for Frèchet-Hilbert spaces”, Funct. Approx. Comment. Math., 44:2 (2011)  crossref
    3. Domanski, P, “Characterization of splitting for Frechet-Hilbert spaces via interpolation”, Mathematische Annalen, 339:2 (2007), 317  crossref  mathscinet  zmath  isi  scopus  scopus
    4. Kravishvili, ED, “A description of interpolation orbits of Neumann-Schatten ideals acting in Hilbert couples and embedding theorems”, Doklady Mathematics, 68:3 (2003), 316  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:62
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