Fr,chet Sheaves and Taylor Spectrum for Supernilpotent Lie Algebra of Operators

Dosi A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.6, no.2, pp.181-201, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1007/s00009-009-0004-9
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.181-201
  • Keywords: Noncommutative holomorphic function in elements of a Lie algebra, formally-radical function, noncommutative parametrized complexes, Taylor spectrum, transversality, COHOMOLOGY, ELEMENTS
  • Middle East Technical University Affiliated: No

Abstract

In the paper we investigate the transversality property of the Fr,chet algebras of formally radical functions in elements of a nilpotent Lie algebra and its relationship to the Taylor spectrum of a family of bounded linear operators generating a supernilpotent Lie algebra.