RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
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


Mat. Sb., 2007, Volume 198, Number 3, Pages 51–76 (Mi msb1481)  

This article is cited in 7 scientific papers (total in 7 papers)

A criterion of smooth generating sets

G. E. Ivanov

Moscow Institute of Physics and Technology

Abstract: For a smooth strictly convex set in a reflexive Banach space a criterion is given for this set to be generating. This criterion enabled us to discover new classes of generating sets.
Bibliography: 6 titles.

DOI: https://doi.org/10.4213/sm1481

Full text: PDF file (594 kB)
References: PDF file   HTML file

English version:
Sbornik: Mathematics, 2007, 198:3, 343–368

Bibliographic databases:

UDC: 517.982.252
MSC: Primary 46B20; Secondary 52A07
Received: 16.12.2005

Citation: G. E. Ivanov, “A criterion of smooth generating sets”, Mat. Sb., 198:3 (2007), 51–76; Sb. Math., 198:3 (2007), 343–368

Citation in format AMSBIB
\Bibitem{Iva07}
\by G.~E.~Ivanov
\paper A criterion of smooth generating sets
\jour Mat. Sb.
\yr 2007
\vol 198
\issue 3
\pages 51--76
\mathnet{http://mi.mathnet.ru/msb1481}
\crossref{https://doi.org/10.4213/sm1481}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2354279}
\zmath{https://zbmath.org/?q=an:1154.26014}
\elib{https://elibrary.ru/item.asp?id=9469180}
\transl
\jour Sb. Math.
\yr 2007
\vol 198
\issue 3
\pages 343--368
\crossref{https://doi.org/10.1070/SM2007v198n03ABEH003839}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000247946700002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547851567}


Linking options:
  • http://mi.mathnet.ru/eng/msb1481
  • https://doi.org/10.4213/sm1481
  • http://mi.mathnet.ru/eng/msb/v198/i3/p51

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Bui V. Karasev R., “On the Caratheodory Number For Strong Convexity”, Discret. Comput. Geom.  crossref  isi
    2. M. V. Balashov, G. E. Ivanov, “Weakly convex and proximally smooth sets in Banach spaces”, Izv. Math., 73:3 (2009), 455–499  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. G. E. Ivanov, M. S. Lopushanski, “Well-posedness of approximation and optimization problems for weakly convex sets and functions”, J. Math. Sci., 209:1 (2015), 66–87  mathnet  crossref  mathscinet
    4. Balashov M.V. Golubev M.O., “Weak Concavity of the Antidistance Function”, J. Convex Anal., 21:4 (2014), 951–964  mathscinet  zmath  isi
    5. Moreno J.P. Schneider R., “Some Geometry of Convex Bodies in C(K) Spaces”, J. Math. Pures Appl., 103:2 (2015), 352–373  crossref  mathscinet  zmath  isi  elib  scopus
    6. A. R. Alimov, “Prostranstva Mazura i 4.3-svoistvo peresecheniya $(BM)$-prostranstv”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 16:2 (2016), 133–137  mathnet  crossref  mathscinet  elib
    7. Holmsen A.F. Karasev R., “Colorful theorems for strong convexity”, Proc. Amer. Math. Soc., 145:6 (2017), 2713–2726  crossref  mathscinet  zmath  isi  scopus
  • Математический сборник Sbornik: Mathematics (from 1967)
    Number of views:
    This page:338
    Full text:123
    References:38
    First page:2

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020