RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
License agreement
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. Anal. i Prilozhen., 2011, Volume 45, Issue 1, Pages 79–83 (Mi faa3024)  

This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

Geometry of Cesàro Function Spaces

S. V. Astashkina, L. Maligrandab

a Samara State University
b Luleå University of Technology

Abstract: Geometric properties of Cesàro function spaces $\operatorname{Ces}_{p}(I)$, where $I=[0,\infty)$ or $I=[0,1]$, are investigated. In both cases, a description of their dual spaces for $1<p<\infty$ is given. We find the type and the cotype of Cesàro spaces and present a complete characterization of the spaces $l^q$ that have isomorphic copies in $\operatorname{Ces}_{p}[0,1]$ ($1\le p<\infty$).

Keywords: Cesàro space, Köthe dual space, dual space, $q$-concave Banach space, type and cotype of a Banach space, Dunford–Pettis property

DOI: https://doi.org/10.4213/faa3024

Full text: PDF file (206 kB)
References: PDF file   HTML file

English version:
Functional Analysis and Its Applications, 2011, 45:1, 64–68

Bibliographic databases:

UDC: 517.982.27+517.982.25
Received: 06.03.2009

Citation: S. V. Astashkin, L. Maligranda, “Geometry of Cesàro Function Spaces”, Funktsional. Anal. i Prilozhen., 45:1 (2011), 79–83; Funct. Anal. Appl., 45:1 (2011), 64–68

Citation in format AMSBIB
\Bibitem{AstMal11}
\by S.~V.~Astashkin, L.~Maligranda
\paper Geometry of Ces\`aro Function Spaces
\jour Funktsional. Anal. i Prilozhen.
\yr 2011
\vol 45
\issue 1
\pages 79--83
\mathnet{http://mi.mathnet.ru/faa3024}
\crossref{https://doi.org/10.4213/faa3024}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2848742}
\zmath{https://zbmath.org/?q=an:1271.46027}
\transl
\jour Funct. Anal. Appl.
\yr 2011
\vol 45
\issue 1
\pages 64--68
\crossref{https://doi.org/10.1007/s10688-011-0007-8}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000288557800007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952793605}


Linking options:
  • http://mi.mathnet.ru/eng/faa3024
  • https://doi.org/10.4213/faa3024
  • http://mi.mathnet.ru/eng/faa/v45/i1/p79

    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. Carrillo-Alanis J., “Rademacher Functions in Weighted Cesaro Spaces”, Studia Math., 217:1 (2013), 19–40  crossref  mathscinet  zmath  isi  elib  scopus
    2. Astashkin S.V., Maligranda L., “Structure of Rademacher Subspaces in Cesaro Type Spaces”, Studia Math., 226:3 (2015), 259–279  crossref  mathscinet  zmath  isi  elib  scopus
    3. Mursaleen M., Aghajani A., Raj K., “Multiplication operators on Cesàro function spaces”, Filomat, 30:5 (2016), 1175–1184  crossref  mathscinet  zmath  isi  elib  scopus
    4. Gogatishvili A., Mustafayev R., Unver T., “Embeddings Between Weighted Copson and Cesaro Function Spaces”, Czech. Math. J., 67:4 (2017), 1105–1132  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
    Number of views:
    This page:381
    Full text:158
    References:32
    First page:20

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021