| 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 |
| 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 117; 1995; 49 ppMSC: 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.
ReadershipGraduate students and research mathematicians, particularly those specializing in operator theory and/or operator algebras.
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Table of Contents
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Chapters
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1. Introduction
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2. The diagonal seminorm function
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3. The interpolation theorem
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4. Maximal off-diagonal ideals
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5. Maximal triangular algebras
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6. Compressible maximal triangular algebras
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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.
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
