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Matematicheskie Zametki, 1998, Volume 64, Issue 4, Pages 616–621
DOI: https://doi.org/10.4213/mzm1437 (Mi mzm1437) 		 
This article is cited in 3 scientific papers (total in 3 papers)

For cones in Hilbert spaces, regularity is equivalent to self-duality

V. T. Khudalov

North-Ossetia State University
Full-text PDF (160 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1437
Abstract: The theorem stating that a cone in a Hilbert space is regular if and only if it is self-dual is proved and applied to obtain new proofs of earlier results.
Received: 17.03.1997
Revised: 02.09.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 4, Pages 532–536
DOI: https://doi.org/10.1007/BF02314636
Bibliographic databases:
UDC: 517.982
Language: Russian
Citation: V. T. Khudalov, “For cones in Hilbert spaces, regularity is equivalent to self-duality”, Mat. Zametki, 64:4 (1998), 616–621; Math. Notes, 64:4 (1998), 532–536
Citation in format AMSBIB
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\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 4
\pages 532--536
\crossref{https://doi.org/10.1007/BF02314636}
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  • https://www.mathnet.ru/eng/mzm1437
  • https://doi.org/10.4213/mzm1437
  • https://www.mathnet.ru/eng/mzm/v64/i4/p616
    • This publication is cited in the following 3 articles:
    1. Anna Szymusiak, Wojciech Słomczyński, “Can QBism exist without Q? Morphophoric measurements in generalised probabilistic theories”, Quantum, 9 (2025), 1598  crossref
    2. Khudalov, VT, “Description for all regular cones in Hilbert space”, Siberian Mathematical Journal, 42:1 (2001), 205  mathnet  crossref  mathscinet  zmath  isi  scopus  scopus
    3. V. T. Khudalov, “Rasstoyanie ot tochki do konusa v gilbertovom prostranstve”, Vladikavk. matem. zhurn., 1:4 (1999), 38–42  mathnet  mathscinet  zmath
    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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