MEROMORPHIC FUNCTIONAL
CALCULUS AND LOCAL
SPECTRAL THEORY

TERESA BERMÚDEZ

Abstract:

We study the behavior of the local spectrum of a bounded linear operator on the vectors of the range of the meromorphic functional calculus. In particular we analyze some relations of the restriction and coinduced operators of the meromorphic functional calculus. We also obtain the local spectral mapping theorem and conditions for the stability of the single valued extension property (SVEP).