CBMS Regional Conference Series in Mathematics 1978; 73 pp; softcover Number: 36 Reprint/Revision History: reprinted 1980 ISBN10: 0821816861 ISBN13: 9780821816868 List Price: US$22 Member Price: US$17.60 All Individuals: US$17.60 Order Code: CBMS/36
 In this monograph the author surveys some of the remarkable developments that have taken place in operator theory over the past five years. This monograph is largely expository and should be accessible to those who have had a course in functional analysis and operator theory. Readership Reviews "These lectures constitute a valuable account of the recent outburst of activity in operator theory, among the main achievements of which are the characterization of quasitriangularity and the classification of essentially normal operators, both expressed in terms of the Fredholm index."  P. A. Fillmore, Mathematical Reviews Table of 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 invariantsubspace problem
 A model for quasinilpotent operators
 The BrownDouglasFillmore theorem
 Bibliography
