Memoirs of the American Mathematical Society 1995; 49 pp; softcover Volume: 117 ISBN10: 0821804057 ISBN13: 9780821804056 List Price: US$34 Individual Members: US$20.40 Institutional Members: US$27.20 Order Code: MEMO/117/562
 Triangular algebras and nest algebras are two important classes of nonselfadjoint 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 diagonaldisjoint 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  Introduction
 The diagonal seminorm function
 The interpolation theorem
 Maximal offdiagonal ideals
 Maximal triangular algebras
 Compressible maximal triangular algebras
 References
