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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)
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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
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  • 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
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:520
    Russian version PDF:193
    English version PDF:6
    References:47
    First page:11
     
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