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Title: The Taylor spectrum and transversality for a Heisenberg algebra of operators

Journal Article · · Sbornik. Mathematics
 [1]
  1. Middle East Technical University Northern Cyprus Campus (Cyprus)

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.

OSTI ID:
21418057
Journal Information:
Sbornik. Mathematics, Vol. 201, Issue 3; Other Information: DOI: 10.1070/SM2010v201n03ABEH004076; ISSN 1064-5616
Country of Publication:
United States
Language:
English