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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm7306https://doi.org/10.1070/SM2010v201n03ABEH004076 https://www.mathnet.ru/eng/sm/v201/i3/p39
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Abstract page: | 520 | Russian version PDF: | 193 | English version PDF: | 6 | References: | 47 | First page: | 11 |
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