AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Triangular Algebras and Ideals of Nest Algebras
John Lindsay Orr

Memoirs of the American Mathematical Society
1995; 49 pp; softcover
Volume: 117
ISBN-10: 0-8218-0405-7
ISBN-13: 978-0-8218-0405-6
List Price: US$34
Individual Members: US$20.40
Institutional Members: US$27.20
Order Code: MEMO/117/562
[Add Item]

Request Permissions

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.

Table of Contents

  • Introduction
  • The diagonal seminorm function
  • The interpolation theorem
  • Maximal off-diagonal ideals
  • Maximal triangular algebras
  • Compressible maximal triangular algebras
  • References
Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia