Infinite Lexicographic Products of Triangular Algebras

1994/06/07 by S. C. Power, Power, S. C.
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #funct-an #math.OA

paper · pdf · doi:10.48550/arxiv.funct-an/9406001

6 pages, Latex

arxiv created 1994/06/07 · arxiv updated 2009/11/30

Abstract

Some new connections are given between linear orderings and triangular operator algebras. A lexicograhic product is defined for triangular operator algebras and the Jacobson radical of an infinite lexicographic product of upper triangular matrix algebras is determined.

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