Herrero's Approximation Problem for Quasidiagonal Operators
Copyright policy )Herrero's Approximation Problem for Quasidiagonal Operators
Let T be a quasidiagonal operator on a separable Hilbert space. Then T is the norm limit of operators, each of which generate a finite dimensional C*-algebra, if and only if the C*-algebra generated by T is exact.
Latex, 7pages, 2 trivial examples removed
- University of California, Berkeley United States
Linear operator approximation theory, quasidiagonal operator, 46L05, exact \(C^*\)-algebra, Mathematics - Operator Algebras, norm limits of block diagonal operators, separable Hilbert space, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, blocks of bounded dimension, FOS: Mathematics, Operator Algebras (math.OA), Analysis
Linear operator approximation theory, quasidiagonal operator, 46L05, exact \(C^*\)-algebra, Mathematics - Operator Algebras, norm limits of block diagonal operators, separable Hilbert space, Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, blocks of bounded dimension, FOS: Mathematics, Operator Algebras (math.OA), Analysis
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