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Lectures on Operator Theory and Its Applications
 
Edited by: Peter Lancaster University of Calgary, Calgary, AB, Canada
Albrecht Böttcher Technical University of Chemnitz, Chemnitz, Germany
Aad Dijksma University of Groningen, Groningen, Netherlands
Heinz Langer Vienna Technical University, Vienna, Austria
Michael A. Dritschel University of Virginia, Charlottesville, VA
James Rovnyak University of Virginia, Charlottesville, VA
Marinus A. Kaashoek Vrije University, Amsterdam, Netherlands
A co-publication of the AMS and Fields Institute
Lectures on Operator Theory and Its Applications
Hardcover ISBN:  978-0-8218-0457-5
Product Code:  FIM/3
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
eBook ISBN:  978-1-4704-3130-3
Product Code:  FIM/3.E
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
Hardcover ISBN:  978-0-8218-0457-5
eBook: ISBN:  978-1-4704-3130-3
Product Code:  FIM/3.B
List Price: $274.00 $207.50
MAA Member Price: $246.60 $186.75
AMS Member Price: $219.20 $166.00
Lectures on Operator Theory and Its Applications
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Lectures on Operator Theory and Its Applications
Edited by: Peter Lancaster University of Calgary, Calgary, AB, Canada
Albrecht Böttcher Technical University of Chemnitz, Chemnitz, Germany
Aad Dijksma University of Groningen, Groningen, Netherlands
Heinz Langer Vienna Technical University, Vienna, Austria
Michael A. Dritschel University of Virginia, Charlottesville, VA
James Rovnyak University of Virginia, Charlottesville, VA
Marinus A. Kaashoek Vrije University, Amsterdam, Netherlands
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-0457-5
Product Code:  FIM/3
List Price: $141.00
MAA Member Price: $126.90
AMS Member Price: $112.80
eBook ISBN:  978-1-4704-3130-3
Product Code:  FIM/3.E
List Price: $133.00
MAA Member Price: $119.70
AMS Member Price: $106.40
Hardcover ISBN:  978-0-8218-0457-5
eBook ISBN:  978-1-4704-3130-3
Product Code:  FIM/3.B
List Price: $274.00 $207.50
MAA Member Price: $246.60 $186.75
AMS Member Price: $219.20 $166.00
  • Book Details
     
     
    Fields Institute Monographs
    Volume: 31996; 339 pp
    MSC: Primary 47; Secondary 15; 34; 65; 93;

    Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavor. A good example is the large and amorphous body of knowledge known as “the theory of linear operators” or “operator theory”, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of “functional analysis”, whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc., as well as in the more traditional areas of theoretical physics and mechanics.

    This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in the fall of 1994. The purpose of the meeting was to provide introductory lectures on some of the methods being used and problems being tackled in current research involving operator theory.

    Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Chapters
    • Lecture 1. Infinite matrices and projection methods
    • Lecture 2. Operator theory and ordinary differential operators
    • Lecture 3. Operators on indefinite inner product spaces
    • Lecture 4. State space theory of rational matrix functions and applications
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 31996; 339 pp
MSC: Primary 47; Secondary 15; 34; 65; 93;

Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavor. A good example is the large and amorphous body of knowledge known as “the theory of linear operators” or “operator theory”, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of “functional analysis”, whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc., as well as in the more traditional areas of theoretical physics and mechanics.

This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in the fall of 1994. The purpose of the meeting was to provide introductory lectures on some of the methods being used and problems being tackled in current research involving operator theory.

Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Research mathematicians.

  • Chapters
  • Lecture 1. Infinite matrices and projection methods
  • Lecture 2. Operator theory and ordinary differential operators
  • Lecture 3. Operators on indefinite inner product spaces
  • Lecture 4. State space theory of rational matrix functions and applications
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.