Spectral sets
Volume 123 / 1997
Studia Mathematica 123 (1997), 97-107
DOI: 10.4064/sm-123-2-97-107
Abstract
The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions and describes them in terms of existence of idempotents. A new decomposition theorem characterizing spectral sets is obtained for bounded linear operators.