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Some Recent Developments in Operator Theory
Carl M. Pearcy
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1978; 73 pp; softcover
Number: 36
Reprint/Revision History:
reprinted 1980
ISBN-10: 0-8218-1686-1
ISBN-13: 978-0-8218-1686-8
List Price: US$22
Member Price: US$17.60
All Individuals: US$17.60
Order Code: CBMS/36
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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.

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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 invariant-subspace problem
  • A model for quasinilpotent operators
  • The Brown-Douglas-Fillmore theorem
  • Bibliography
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