Isomorphisms between sub-strongly

reducible maximal triangular algebras

Authors:
Fangyan Lu and Shijie Lu

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2121-2128

MSC (2000):
Primary 47L75, 47L35

DOI:
https://doi.org/10.1090/S0002-9939-99-05459-3

Published electronically:
November 29, 1999

MathSciNet review:
1690996

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we introduce the concept of sub-strongly maximal triangular algebras which form a large class of maximal triangular algebras, and prove that every algebraic isomorphism of sub-strongly maximal triangular algebras is spatially implemented, which generalizes the result by Ringrose in two respects.

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Additional Information

**Fangyan Lu**

Affiliation:
School of Mathematical Science, Suzhou University, Suzhou 215006, People’s Republic of China

Email:
fylu@suda.edu.cn

**Shijie Lu**

Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China

DOI:
https://doi.org/10.1090/S0002-9939-99-05459-3

Keywords:
Sub-strongly reducible maximal triangular algebras,
hull nest,
isomorphism

Received by editor(s):
January 6, 1998

Received by editor(s) in revised form:
September 4, 1998

Published electronically:
November 29, 1999

Communicated by:
David R. Larson

Article copyright:
© Copyright 2000
American Mathematical Society