Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 5–7
DOI: https://doi.org/10.31857/S268695432006003X (Mi danma126) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Orthogonal elements in nonseparable rearrangement invariant spaces

S. V. Astashkina, E. M. Semenovb

a Samara National Research University, Samara, Russian Federation
b Voronezh State University, Voronezh, Russian Federation
Full-text PDF (108 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S268695432006003X
Abstract: Let $E$ be a nonseparable rearrangement invariant space, and let $E_0$ denote the closure of the set of all bounded functions in $E$. We study elements of $E$ orthogonal to the subspace $E_0$, i.e., elements $x\in E$ such that $\|x\|_E\le\|x+y\|_E$ for any $y\in E_0$.
Keywords: nonseparable Banach space, rearrangement invariant space, Orlicz space, Marcinkiewicz space, orthogonal elements.
Funding agency Grant number
Program of developing the Scientific and Educational Mathematical Center of the Volga Federal District 075-02-2020-1488/1
Russian Foundation for Basic Research 18–01–00414-а
Astashkin's research was performed within the program of developing the Scientific and Educational Mathematical Center of the Volga Federal District, agreement no. 075-02-2020-1488/1. Semenov acknowledges the support of the Russian Foundation for Basic Research, grant no. 18-01-00414-a.
Presented: S. V. Kislyakov
Received: 21.07.2020
Revised: 21.07.2020
Accepted: 25.09.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 449–450
DOI: https://doi.org/10.1134/S1064562420060058
Bibliographic databases:
Document Type: Article
UDC: 517.982.27
Language: Russian
Citation: S. V. Astashkin, E. M. Semenov, “Orthogonal elements in nonseparable rearrangement invariant spaces”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 5–7; Dokl. Math., 102:3 (2020), 449–450
Citation in format AMSBIB
\Bibitem{AstSem20}
\by S.~V.~Astashkin, E.~M.~Semenov
\paper Orthogonal elements in nonseparable rearrangement invariant spaces
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 495
\pages 5--7
\mathnet{http://mi.mathnet.ru/danma126}
\crossref{https://doi.org/10.31857/S268695432006003X}
\zmath{https://zbmath.org/?q=an:7424662}
\elib{https://elibrary.ru/item.asp?id=44367191}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 3
\pages 449--450
\crossref{https://doi.org/10.1134/S1064562420060058}
Linking options:
  • https://www.mathnet.ru/eng/danma126
  • https://www.mathnet.ru/eng/danma/v495/p5
    • 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
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:97
    Full-text PDF :35
    References:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024