Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Sbornik, 1969, Volume 9, Issue 2, Pages 171–182
DOI: https://doi.org/10.1070/SM1969v009n02ABEH001283 (Mi sm3611) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the continuity of metric projection in Banach space

E. V. Oshman
English version PDF (615 kB) Citations (12) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1969v009n02ABEH001283
Abstract: Two kinds of continuity and of metric projection are considered. For each type of continuity in the class of reflexive Banach spaces, necessary and sufficient conditions are given for the metric projection on each closed convex set to be continuous. In addition, some extensions of these results are given for nonreflexive spaces.
Bibliography: 16 titles.
Received: 02.07.1968
Bibliographic databases:
UDC: 513.88+513.83
MSC: 46B10, 26A15, 46A55
Language: English
Original paper language: Russian
Citation: E. V. Oshman, “On the continuity of metric projection in Banach space”, Math. USSR-Sb., 9:2 (1969), 171–182
Citation in format AMSBIB
\Bibitem{Osh69}
\by E.~V.~Oshman
\paper On~the continuity of metric projection in Banach space
\jour Math. USSR-Sb.
\yr 1969
\vol 9
\issue 2
\pages 171--182
\mathnet{http://mi.mathnet.ru//eng/sm3611}
\crossref{https://doi.org/10.1070/SM1969v009n02ABEH001283}
\zmath{https://zbmath.org/?q=an:0198.45906|0192.47002}
Linking options:
  • https://www.mathnet.ru/eng/sm3611
  • https://doi.org/10.1070/SM1969v009n02ABEH001283
  • https://www.mathnet.ru/eng/sm/v122/i2/p181
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024