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Lifting solutions to perturbing problems in C*-algebras

The nature of C^*-algebras is such that one cannot study perturbation without also studying the theory of lifting and the theory of extensions. Approximation questions involving representations of relations in matrices and C^*-algebras are the central focus of this volume. A variety of approximation...

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Detalles Bibliográficos
Autor principal: Loring, Terry A
Lenguaje:eng
Publicado: American Mathematical Society 1996
Materias:
Acceso en línea:http://cds.cern.ch/record/2264211
Descripción
Sumario:The nature of C^*-algebras is such that one cannot study perturbation without also studying the theory of lifting and the theory of extensions. Approximation questions involving representations of relations in matrices and C^*-algebras are the central focus of this volume. A variety of approximation techniques are unified by translating them into lifting problems: from classical questions about transitivity of algebras of operators on Hilbert spaces to recent results in linear algebra. One chapter is devoted to Lin's theorem on approximating almost normal matrices by normal matrices. The techn