A. A. Dosi, “The Taylor spectrum and transversality for a Heisenberg algebra of operators”, Mat. Sb., 201:3 (2010), 39

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Mat. Sb., 2010, Volume 201, Number 3, Pages 39–62 (Mi msb7306)

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The Taylor spectrum and transversality for a Heisenberg algebra of operators

A. A. Dosi

Middle East Technical University Northern Cyprus Campus, Güzelyurt

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.

UDC: 517.984.22

MSC: Primary 46H30, 17B30; Secondary 17B35

Received: 02.10.2008 and 14.10.2009

Citation: A. A. Dosi, “The Taylor spectrum and transversality for a Heisenberg algebra of operators”, Mat. Sb., 201:3 (2010), 39–62

Citation in format AMSBIB:

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\jour Sb. Math.
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\pages 355--375
\crossref{http://dx.doi.org/10.1070/SM2010v201n03ABEH004076}
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Full text (in Russian): PDF file (604 kB)

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English version:
Sbornik: Mathematics, 2010, 201:3, 355–375

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ISI Web of Knowledge: 000279452200003

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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