Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2010, Volume 201, Issue 3, Pages 355–375
DOI: https://doi.org/10.1070/SM2010v201n03ABEH004076 (Mi sm7306) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Taylor spectrum and transversality for a Heisenberg algebra of operators

A. A. Dosi

Middle East Technical University Northern Cyprus Campus
English version PDF (469 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2010v201n03ABEH004076
Abstract: A problem on noncommutative holomorphic functional calculus is considered for a Banach module over a finite-dimensional nilpotent Lie algebra. As the main result, the transversality property of algebras of noncommutative holomorphic functions with respect to the Taylor spectrum is established for a family of bounded linear operators generating a Heisenberg algebra.
Bibliography: 25 titles.
Keywords: holomorphic function of elements of a Lie algebra, Taylor spectrum, transversality property, inverting the Fréchet completion.
Received: 02.10.2008 and 14.10.2009
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 3, Pages 39–62
DOI: https://doi.org/10.4213/sm7306
Bibliographic databases:
UDC: 517.984.22
MSC: Primary 46H30, 17B30; Secondary 17B35
Language: English
Original paper language: Russian
Citation: A. A. Dosi, “The Taylor spectrum and transversality for a Heisenberg algebra of operators”, Mat. Sb., 201:3 (2010), 39–62; Sb. Math., 201:3 (2010), 355–375
Citation in format AMSBIB
\Bibitem{Dos10}
\by A.~A.~Dosi
\paper The Taylor spectrum and transversality for a~Heisenberg algebra of operators
\jour Mat. Sb.
\yr 2010
\vol 201
\issue 3
\pages 39--62
\mathnet{http://mi.mathnet.ru/sm7306}
\crossref{https://doi.org/10.4213/sm7306}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2655839}
\zmath{https://zbmath.org/?q=an:1214.46031}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010SbMat.201..355D}
\elib{https://elibrary.ru/item.asp?id=19066191}
\transl
\jour Sb. Math.
\yr 2010
\vol 201
\issue 3
\pages 355--375
\crossref{https://doi.org/10.1070/SM2010v201n03ABEH004076}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000279452200003}
Linking options:
  • https://www.mathnet.ru/eng/sm7306
  • https://doi.org/10.1070/SM2010v201n03ABEH004076
  • https://www.mathnet.ru/eng/sm/v201/i3/p39
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:543
    Russian version PDF:200
    English version PDF:13
    References:56
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024