Geodesic
The Taylor spectrum and transversality for a Heisenberg algebra of operators
Sbornik. Mathematics, Tome 201 (2010) no. 3, pp. 355-375 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : inverting the Fréchet completion. 
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A. A. Dosi. The Taylor spectrum and transversality for a Heisenberg algebra of operators. Sbornik. Mathematics, Tome 201 (2010) no. 3, pp. 355-375. http://geodesic.mathdoc.fr/item/SM_2010_201_3_a2/

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