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Isomorphisms between sub-strongly reducible maximal triangular algebras
Authors:Fangyan Lu  Shijie Lu
Institution:School of Mathematical Science, Suzhou University, Suzhou 215006, People's Republic of China ; Department of Mathematics, Zhejiang University, Hangzhou 310027, People's Republic of China
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.

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