The Taylor spectrum and transversality for a Heisenberg algebra of operators

Dosi A. A.

SBORNIK MATHEMATICS, vol.201, pp.355-375, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 201
  • Publication Date: 2010
  • Doi Number: 10.1070/sm2010v201n03abeh004076
  • Journal Name: SBORNIK MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.355-375
  • Middle East Technical University Affiliated: No

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.