Algebra i Analiz
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



Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find






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


Algebra i Analiz, 2001, Volume 13, Issue 2, Pages 116–129 (Mi aa928)  

This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight

A. Böttcher, M. Seybold

Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany
Full-text PDF (683 kB) Citations (6)
Abstract: This paper explores operators on $\ell^p$ over the integers with an arbitrary Muckenhoupt weight. The main result is a Fredholm criterion for the operators in the Banach algebra generated by zero-order pseudodifferential operators with piecewise continuous symbols. In contrast to the common power weights, general Muckenhoupt weights may produce massive parts in the essential spectrum of these operators.
Keywords: pseudodifferential operator, symbol calculus, Muckenhoupt weight, sequence space, Toeplitz algebra.
Received: 20.07.2000
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Böttcher, M. Seybold, “Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight”, Algebra i Analiz, 13:2 (2001), 116–129; St. Petersburg Math. J., 13:2 (2002), 241–252
Citation in format AMSBIB
\Bibitem{BotSey01}
\by A.~B\"ottcher, M.~Seybold
\paper Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight
\jour Algebra i Analiz
\yr 2001
\vol 13
\issue 2
\pages 116--129
\mathnet{http://mi.mathnet.ru/aa928}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1834862}
\zmath{https://zbmath.org/?q=an:1035.47025}
\transl
\jour St. Petersburg Math. J.
\yr 2002
\vol 13
\issue 2
\pages 241--252
Linking options:
  • https://www.mathnet.ru/eng/aa928
  • https://www.mathnet.ru/eng/aa/v13/i2/p116
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:397
    Full-text PDF :135
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024