Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 3, Pages 62–74
DOI: https://doi.org/10.4213/faa3835 (Mi faa3835) 		 
On R-dual of type III in Hilbert spaces

H. F\"uhra, J. Cheshmavarb, A. Akbarniab

a Lehrstuhl A für Mathematik, RWTH Aachen University, Aachen, Germany
b Department of Mathematics, Payame Noor University, Tehran, Iran
Full-text PDF (553 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3835
Abstract: Following work by Casazza, Kutyniok, and Lammers and its development by Stoeva and Christensen, we provide some novel characterizations of R-dual sequences of type III in Hilbert spaces. We systematically extend the construction procedure by basing it on a choice of an antiunitary involution. For certain classes of R-duals of type III, we derive a representation of the associated frame operator in terms of spectral measures.
Keywords: frames, Riesz sequence, Riesz basis, spectral representation, R-dual of type I, R-dual of type III.
Received: 18.08.2020
Revised: 14.03.2021
Accepted: 15.03.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 3, Pages 226–235
DOI: https://doi.org/10.1134/S0016266321030059
Bibliographic databases:
Document Type: Article
UDC: 517.982
Language: Russian
Citation: H. Führ, J. Cheshmavar, A. Akbarnia, “On R-dual of type III in Hilbert spaces”, Funktsional. Anal. i Prilozhen., 55:3 (2021), 62–74; Funct. Anal. Appl., 55:3 (2021), 226–235
Citation in format AMSBIB
\Bibitem{FuhCheAkb21}
\by H.~F\"uhr, J.~Cheshmavar, A.~Akbarnia
\paper On R-dual of type III in Hilbert spaces
\jour Funktsional. Anal. i Prilozhen.
\yr 2021
\vol 55
\issue 3
\pages 62--74
\mathnet{http://mi.mathnet.ru/faa3835}
\crossref{https://doi.org/10.4213/faa3835}
\transl
\jour Funct. Anal. Appl.
\yr 2021
\vol 55
\issue 3
\pages 226--235
\crossref{https://doi.org/10.1134/S0016266321030059}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000747033300005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85123583076}
Linking options:
  • https://www.mathnet.ru/eng/faa3835
  • https://doi.org/10.4213/faa3835
  • https://www.mathnet.ru/eng/faa/v55/i3/p62
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:156
    Full-text PDF :45
    References:26
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024