Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 191–202
DOI: https://doi.org/10.4213/mzm9371 (Mi mzm9371) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces

A. V. Zagorodnjuka, M. A. Mitrofanovb

a Vasyl Stefanyk Precarpathian National University
b Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
Full-text PDF (533 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9371
Abstract: In this paper, we study various generalizations of the classical Wiener algebra on a Banach space and prove analogs of Wiener's theorem on the invertibility of elements of such algebras.
Keywords: Wiener algebra, Banach space, Wiener's theorem, Fourier series, convolution algebra, maximal ideal, Banach algebra, Aron–Berner extension.
Funding agency Grant number
State Fund for Fundamental Researches (Ukraine) Ф35/531-2011
This work was supported by the Ukrainian State Foundation for Basic Research (grant no. F35/531-2011).
Received: 13.03.2012
Revised: 12.08.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 179–189
DOI: https://doi.org/10.1134/S0001434615010204
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Zagorodnjuk, M. A. Mitrofanov, “An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces”, Mat. Zametki, 97:2 (2015), 191–202; Math. Notes, 97:2 (2015), 179–189
Citation in format AMSBIB
\Bibitem{ZagMit15}
\by A.~V.~Zagorodnjuk, M.~A.~Mitrofanov
\paper An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces
\jour Mat. Zametki
\yr 2015
\vol 97
\issue 2
\pages 191--202
\mathnet{http://mi.mathnet.ru/mzm9371}
\crossref{https://doi.org/10.4213/mzm9371}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3370506}
\zmath{https://zbmath.org/?q=an:06459066}
\elib{https://elibrary.ru/item.asp?id=23421507}
\transl
\jour Math. Notes
\yr 2015
\vol 97
\issue 2
\pages 179--189
\crossref{https://doi.org/10.1134/S0001434615010204}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350557000020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941648598}
Linking options:
  • https://www.mathnet.ru/eng/mzm9371
  • https://doi.org/10.4213/mzm9371
  • https://www.mathnet.ru/eng/mzm/v97/i2/p191
    • 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
    Statistics & downloads:
    Abstract page:368
    Full-text PDF :159
    References:50
    First page:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024