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Triangular Algebras and Ideals of Nest Algebras
 
John Lindsay Orr University of Nebraska
Triangular Algebras and Ideals of Nest Algebras
eBook ISBN:  978-1-4704-0141-2
Product Code:  MEMO/117/562.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $20.40
Triangular Algebras and Ideals of Nest Algebras
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Triangular Algebras and Ideals of Nest Algebras
John Lindsay Orr University of Nebraska
eBook ISBN:  978-1-4704-0141-2
Product Code:  MEMO/117/562.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $20.40
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1171995; 49 pp
    MSC: Primary 47;

    Triangular algebras and nest algebras are two important classes of non-selfadjoint operator algebras. In this book, the author uses the new depth of understanding which the similarity theory for nests has opened up to study ideals of nest algebras.

    In particular, a unique largest diagonal-disjoint ideal is identified for each nest algebra. Using a construction proposed by Kadison and Singer, this ideal can be used to construct new maximal triangular algebras. These new algebras are the first concrete descriptions of maximal triangular algebras that are not nest algebras.

    Readership

    Graduate students and research mathematicians, particularly those specializing in operator theory and/or operator algebras.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. The diagonal seminorm function
    • 3. The interpolation theorem
    • 4. Maximal off-diagonal ideals
    • 5. Maximal triangular algebras
    • 6. Compressible maximal triangular algebras
  • 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: 1171995; 49 pp
MSC: Primary 47;

Triangular algebras and nest algebras are two important classes of non-selfadjoint operator algebras. In this book, the author uses the new depth of understanding which the similarity theory for nests has opened up to study ideals of nest algebras.

In particular, a unique largest diagonal-disjoint ideal is identified for each nest algebra. Using a construction proposed by Kadison and Singer, this ideal can be used to construct new maximal triangular algebras. These new algebras are the first concrete descriptions of maximal triangular algebras that are not nest algebras.

Readership

Graduate students and research mathematicians, particularly those specializing in operator theory and/or operator algebras.

  • Chapters
  • 1. Introduction
  • 2. The diagonal seminorm function
  • 3. The interpolation theorem
  • 4. Maximal off-diagonal ideals
  • 5. Maximal triangular algebras
  • 6. Compressible maximal triangular algebras
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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