Infinite Lexicographic Products of Triangular Algebras
Copyright policy )Infinite Lexicographic Products of Triangular Algebras
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.
6 pages, Latex
- Lancaster University United Kingdom
Abstract operator algebras on Hilbert spaces, Mathematics - Operator Algebras, linear orderings, Jacobson radical, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Inductive and projective limits in functional analysis, triangular operator algebras, upper triangular matrix algebras, Nonselfadjoint (sub)algebras in algebras with involution, FOS: Mathematics, Operator Algebras (math.OA), lexicographic product
Abstract operator algebras on Hilbert spaces, Mathematics - Operator Algebras, linear orderings, Jacobson radical, 510, Functional Analysis (math.FA), Mathematics - Functional Analysis, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Inductive and projective limits in functional analysis, triangular operator algebras, upper triangular matrix algebras, Nonselfadjoint (sub)algebras in algebras with involution, FOS: Mathematics, Operator Algebras (math.OA), lexicographic product
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