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Isomorphisms between sub-strongly reducible maximal triangular algebras
Author(s):
Fangyan
Lu;
Shijie
Lu
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2121-2128.
MSC (2000):
Primary 47L75, 47L35
Posted:
November 29, 1999
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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:
10.1090/S0002-9939-99-05459-3
PII:
S 0002-9939(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
Posted:
November 29, 1999
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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