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Linear Transformations in Hilbert Space and Their Applications to Analysis
 
Linear Transformations in Hilbert Space and Their Applications to Analysis
Softcover ISBN:  978-0-8218-1015-6
Product Code:  COLL/15
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-3164-8
Product Code:  COLL/15.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-0-8218-1015-6
eBook: ISBN:  978-1-4704-3164-8
Product Code:  COLL/15.B
List Price: $188.00 $143.50
MAA Member Price: $169.20 $129.15
AMS Member Price: $150.40 $114.80
Linear Transformations in Hilbert Space and Their Applications to Analysis
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Linear Transformations in Hilbert Space and Their Applications to Analysis
Softcover ISBN:  978-0-8218-1015-6
Product Code:  COLL/15
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-3164-8
Product Code:  COLL/15.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Softcover ISBN:  978-0-8218-1015-6
eBook ISBN:  978-1-4704-3164-8
Product Code:  COLL/15.B
List Price: $188.00 $143.50
MAA Member Price: $169.20 $129.15
AMS Member Price: $150.40 $114.80
  • Book Details
     
     
    Colloquium Publications
    Volume: 151932; 622 pp
    MSC: Primary 47;
  • Table of Contents
     
     
    • Chapters
    • Chapter I. Abstract Hilbert space and its realizations
    • Chapter II. Transformations in Hilbert space
    • Chapter III. Examples of linear transformations
    • Chapter IV. Resolvents, spectra, reducibility
    • Chapter V. Self-adjoint transformations
    • Chapter VI. The operational calculus
    • Chapter VII. The unitary equivalence of self-adjoint transformations
    • Chapter VIII. General types of linear transformations
    • Chapter IX. Symmetric Transformations
    • Chapter X. Applications
  • Reviews
     
     
    • This book [a 1990 reprint of the 1932 original] is a classic by now.

      Mathematical Reviews
    • The author has set himself the task of giving a thorough and systematic exposition of the main features of the theory, based on his own investigations, but also containing the principal results of Carleman and von Neumann.

      Professor Stone has done us a real service by providing a clear, systematic, and readable account of this important theory which is still in statu nascendi. The book is not always easy reading, but the author is fair to the reader: nothing essential is withheld, the terminology is clearly defined and strictly adhered to, there are enough facts provided for the imagination to feed on, but no loose statements.

      Bulletin of the AMS
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 151932; 622 pp
MSC: Primary 47;
  • Chapters
  • Chapter I. Abstract Hilbert space and its realizations
  • Chapter II. Transformations in Hilbert space
  • Chapter III. Examples of linear transformations
  • Chapter IV. Resolvents, spectra, reducibility
  • Chapter V. Self-adjoint transformations
  • Chapter VI. The operational calculus
  • Chapter VII. The unitary equivalence of self-adjoint transformations
  • Chapter VIII. General types of linear transformations
  • Chapter IX. Symmetric Transformations
  • Chapter X. Applications
  • This book [a 1990 reprint of the 1932 original] is a classic by now.

    Mathematical Reviews
  • The author has set himself the task of giving a thorough and systematic exposition of the main features of the theory, based on his own investigations, but also containing the principal results of Carleman and von Neumann.

    Professor Stone has done us a real service by providing a clear, systematic, and readable account of this important theory which is still in statu nascendi. The book is not always easy reading, but the author is fair to the reader: nothing essential is withheld, the terminology is clearly defined and strictly adhered to, there are enough facts provided for the imagination to feed on, but no loose statements.

    Bulletin of the AMS
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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