Local spectrum of a family of operators (Q1947169)

In the paper under review, the author generalizes some classical spectral notions associated to an operator, such as resolvent set, spectrum, local resolvent set, local spectrum and singled-valued extension property, for the case of a family of linear bounded operators acting on a Banach space. These generalized spectral notions are studied and the author gives several interesting relations. In particular, she extends some known results from the case of a linear bounded operator to the case of a family of linear bounded operators.