The Taylor spectrum and transversality for a Heisenberg algebra of operators

Dosi A. A.

SBORNIK MATHEMATICS, cilt.201, ss.355-375, 2010 (SCI İndekslerine Giren Dergi) identifier


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.