# Free eBook Triangular Algebras and Ideals of Nest Algebras (Memoirs of the American Mathematical Society) download

## by John L. Orr

**ISBN:**0821804057

**Author:**John L. Orr

**Publisher:**Amer Mathematical Society (September 1, 1995)

**Language:**English

**Pages:**49

**Category:**Other

**Subcategory:**Science and Mathematics

**Size MP3:**1881 mb

**Size FLAC:**1284 mb

**Rating:**4.3

**Format:**lit lrf mbr doc

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.

Triangular algebras and nest algebras are two important classes of non-selfadjoint operator 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.

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Triangular algebras and ideals of nest algebras. Transactions of the American Mathematical Society 344 (2), 925-947, 1994. KR Davidson, JL Orr. Bulletin of the London Mathematical Society 27 (2), 155-161, 1995. JL Orr. American Mathematical So. 1995. Some representations of TAF algebras. Pacific Journal of Mathematics 167 (1), 129-161, 1995. The invertibles are connected in infinite multiplicity nest algebras. On the closure of triangular algebras. American Journal of Mathematics 112 (3), 481-497, 1990. On generators of the radical of a nest algebra. 2. K. R. Davidson, Similarity and compact perturbations of nest algebras, J. Reine Angew. American Mathematical Society. Zentralblatt MATH: 0526. vol. 191, Longman Scientific and Technical, Essex, 1988. Zentralblatt MATH: 0669. 4. J. A. Erdos, Unitary invariants for nests, Pacific J. Math.

This memoir presents a systematic study of the relationships between the .

The original motivation comes from the theory of Schur algebras and the symmetric group, Lie theory, and the representation theory of finite dimensional algebras and finite groups. Included are an abstract "Specht/Weyl module" correspondence, a new theory of stratified algebras, and a deformation theory for them.

Series: Memoirs of the American Mathematical Society (Book 244). Paperback: 111 pages. Publisher: Amer Mathematical Society (October 23, 2016). ISBN-13: 978-1470420161. Product Dimensions: . x . inches. Shipping Weight: . ounces.

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.