CBMS Regional Conference Series in Mathematics
Volume: 36;
1978;
73 pp;
Softcover
MSC: Primary 46;
Secondary 47
Print ISBN: 978-0-8218-1686-8
Product Code: CBMS/36
List Price: $24.00
Individual Price: $19.20
Electronic ISBN: 978-1-4704-2395-7
Product Code: CBMS/36.E
List Price: $24.00
Individual Price: $19.20
Some Recent Developments in Operator Theory
Share this pageCarl M. Pearcy
A co-publication of the AMS and CBMS
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 & Endorsements
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
Table of Contents
Some Recent Developments in Operator Theory
- Cover Cover11 free
- Title i2 free
- Copyright ii3 free
- Contents iii4 free
- Preface v6 free
- 1. The spectral picture of an operator 18 free
- 2. Pulling out direct summands 714
- 3. The reducing essential matricial spectra of an operator 1522
- 4. Quasitriangular operators 2431
- 5. Spectral characterization of nonquasitriangular operators 3138
- 6. Approximation by nilpotent operators 3744
- 7. The Lomonosov technique 4249
- 8. A look at the invariant-subspace problem 4754
- 9. A model for quasinilpotent operators 5360
- 10. The Brown-Douglas-Fillmore theorem 5966
- Bibliography 6572
- Back Cover Back Cover182