Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 304–314 (Mi smj2534)  
This article is cited in 2 scientific papers (total in 2 papers)

Finite dimensionality and separability of the stalks of Banach bundles

A. E. Gutmanab, A. V. Koptevba

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (332 kB) Citations (2)
References:
PDF
HTML
Abstract: Topological characteristics are studied of the set of points at which the stalks of an ample Banach bundle over an extremally disconnected compact space are finite-dimensional or separable. Some connection is established between finite dimensionality or separability of the stalks of a bundle and the analogous properties of the stalks of the ample hull of the bundle. We obtain a new criterion for existence of a dual bundle.
Keywords: continuous Banach bundle, ample hull, extremally disconnected compact space, $\sigma$-isolated point.
Received: 17.12.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 246–253
DOI: https://doi.org/10.1134/S0037446614020074
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. E. Gutman, A. V. Koptev, “Finite dimensionality and separability of the stalks of Banach bundles”, Sibirsk. Mat. Zh., 55:2 (2014), 304–314; Siberian Math. J., 55:2 (2014), 246–253
Citation in format AMSBIB
\Bibitem{GutKop14}
\by A.~E.~Gutman, A.~V.~Koptev
\paper Finite dimensionality and separability of the stalks of Banach bundles
\jour Sibirsk. Mat. Zh.
\yr 2014
\vol 55
\issue 2
\pages 304--314
\mathnet{http://mi.mathnet.ru/smj2534}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3237335}
\transl
\jour Siberian Math. J.
\yr 2014
\vol 55
\issue 2
\pages 246--253
\crossref{https://doi.org/10.1134/S0037446614020074}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335167300007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899671501}
Linking options:
  • https://www.mathnet.ru/eng/smj2534
  • https://www.mathnet.ru/eng/smj/v55/i2/p304
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:234
    Full-text PDF :56
    References:43
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024