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Matematicheskie Zametki, 1992, Volume 52, Issue 1, Pages 67–75 (Mi mzm4657)  
This article is cited in 6 scientific papers (total in 6 papers)

Application of Michael's theorem and its converse to sublinear operators

Yu. E. Linke

Irkutsk Computer Centre, Siberian Branch of RAS
Full-text PDF (1047 kB) Citations (6)
Abstract: A theorem of Michael on continuous selectors and its converse are used in this article to study subdifferentials of continuous sublinear operators with values in a cone of lower semicontinuous functions. It is proved that such operators are subdifferentiable (i.e., have nonempty subdifferentials) if their domains are separable Banach spaces. Sublinear operators that are not subdifferentiable are found.
Received: 16.07.1991
English version:
Mathematical Notes, 1992, Volume 52, Issue 1, Pages 680–686
DOI: https://doi.org/10.1007/BF01247650
Bibliographic databases:
UDC: 517
Language: Russian
Citation: Yu. E. Linke, “Application of Michael's theorem and its converse to sublinear operators”, Mat. Zametki, 52:1 (1992), 67–75; Math. Notes, 52:1 (1992), 680–686
Citation in format AMSBIB
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\by Yu.~E.~Linke
\paper Application of Michael's theorem and its converse to sublinear operators
\jour Mat. Zametki
\yr 1992
\vol 52
\issue 1
\pages 67--75
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187716}
\zmath{https://zbmath.org/?q=an:0787.47037|0776.47025}
\transl
\jour Math. Notes
\yr 1992
\vol 52
\issue 1
\pages 680--686
\crossref{https://doi.org/10.1007/BF01247650}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LC62500011}
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  • https://www.mathnet.ru/eng/mzm/v52/i1/p67
    • This publication is cited in the following 6 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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