Triangular Algebras and Ideals of Nest Algebras

Triangular Algebras and Ideals of Nest Algebras

by John Lindsay Orr
     
 

ISBN-10: 0821804057

ISBN-13: 9780821804056

Pub. Date: 09/28/1995

Publisher: American Mathematical Society

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

Overview

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.

Product Details

ISBN-13:
9780821804056
Publisher:
American Mathematical Society
Publication date:
09/28/1995
Series:
Memoirs of the American Mathematical Society Series, #56
Pages:
49
Product dimensions:
7.09(w) x 10.04(h) x (d)

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