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Some Recent Developments in Operator Theory
 
A co-publication of the AMS and CBMS
Some Recent Developments in Operator Theory
Softcover ISBN:  978-0-8218-1686-8
Product Code:  CBMS/36
List Price: $28.00
Individual Price: $22.40
eBook ISBN:  978-1-4704-2395-7
Product Code:  CBMS/36.E
List Price: $26.00
Individual Price: $20.80
Softcover ISBN:  978-0-8218-1686-8
eBook: ISBN:  978-1-4704-2395-7
Product Code:  CBMS/36.B
List Price: $54.00 $41.00
Some Recent Developments in Operator Theory
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Some Recent Developments in Operator Theory
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-1686-8
Product Code:  CBMS/36
List Price: $28.00
Individual Price: $22.40
eBook ISBN:  978-1-4704-2395-7
Product Code:  CBMS/36.E
List Price: $26.00
Individual Price: $20.80
Softcover ISBN:  978-0-8218-1686-8
eBook ISBN:  978-1-4704-2395-7
Product Code:  CBMS/36.B
List Price: $54.00 $41.00
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 361978; 73 pp
    MSC: Primary 46; Secondary 47

    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

  • Table of Contents
     
     
    • Chapters
    • 1. The spectral picture of an operator
    • 2. Pulling out direct summands
    • 3. The reducing essential matricial spectra of an operator
    • 4. Quasitriangular operators
    • 5. Spectral characterization of nonquasitriangular operators
    • 6. Approximation by nilpotent operators
    • 7. The Lomonosov technique
    • 8. A look at the invariant-subspace problem
    • 9. A model for quasinilpotent operators
    • 10. The Brown-Douglas-Fillmore theorem
  • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 361978; 73 pp
MSC: Primary 46; Secondary 47

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

  • Chapters
  • 1. The spectral picture of an operator
  • 2. Pulling out direct summands
  • 3. The reducing essential matricial spectra of an operator
  • 4. Quasitriangular operators
  • 5. Spectral characterization of nonquasitriangular operators
  • 6. Approximation by nilpotent operators
  • 7. The Lomonosov technique
  • 8. A look at the invariant-subspace problem
  • 9. A model for quasinilpotent operators
  • 10. The Brown-Douglas-Fillmore theorem
  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.