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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 201
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1070/sm2010v201n03abeh004076
  • Dergi Adı: SBORNIK MATHEMATICS
  • Sayfa Sayıları: ss.355-375

Özet

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.