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Full Description
Surveys some of the remarkable developments that have taken place in operator theory over the years. This monograph is largely expository and should be accessible to those who have had a course in functional analysis and operator theory.
Contents
The spectral picture of an operator Pulling out direct summands The reducing essential matricial spectra of an operator Quasitriangular operators Spectral characterization of nonquasitriangular operators Approximation by nilpotent operators The Lomonosov technique A look at the invariant-subspace problem A model for quasinilpotent operators The Brown-Douglas-Fillmore theorem Bibliography.
