This article is cited in 11 papers

Brief communications

Cohomology of Sheaves of Fréchet Algebras and Spectral Theory

A. A. Dosiev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: We propose a holomorphic functional calculus for a noncommutative operator family generating a supernilpotent Lie subalgebra. This calculus extends Taylor's holomorphic functional calculus.

Keywords: functional calculus, Putinar spectrum, sheaf of Fréchet algebras, sheaf cohomology.

UDC: 517.51

Received: 10.12.2003

DOI: 10.4213/faa76

 English version: Functional Analysis and Its Applications, 2005, 39:3, 225–228

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