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Matematicheskie Zametki, 1975, Volume 18, Issue 6, Pages 909–920 (Mi mzm7714)  

This article is cited in 1 scientific paper (total in 1 paper)

Traces of norms on a cone

M. M. Fel'dman

Novosibirsk State University
Full-text PDF (849 kB) Citations (1)
Abstract: We characterize the trace of a seminorm (norm) on a cone; we show that the linearly ordered set of seminorms with a given trace on a reproducing cone form a complete lattice. We obtain conditions for the existence of an adjoint seminorm and for the equivalence of norms with a given trace.
Received: 30.12.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 6, Pages 1127–1133
DOI: https://doi.org/10.1007/BF01099995
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: M. M. Fel'dman, “Traces of norms on a cone”, Mat. Zametki, 18:6 (1975), 909–920; Math. Notes, 18:6 (1975), 1127–1133
Citation in format AMSBIB
\Bibitem{Fel75}
\by M.~M.~Fel'dman
\paper Traces of norms on a~cone
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 6
\pages 909--920
\mathnet{http://mi.mathnet.ru/mzm7714}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=399795}
\zmath{https://zbmath.org/?q=an:0318.46010}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 6
\pages 1127--1133
\crossref{https://doi.org/10.1007/BF01099995}
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  • https://www.mathnet.ru/eng/mzm7714
  • https://www.mathnet.ru/eng/mzm/v18/i6/p909
  • This publication is cited in the following 1 articles:
    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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    Full-text PDF :77
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