A Remark on the Similarity and Perturbation Problems
C. R. Math. Rep. Acad. Sci. Canada Vol. 35 (2) 2013, pp. 70–76
June 30, 2013
Jan Cameron, Department of Mathematics, Vassar College, Poughkeepsie, NY 12604, USA; e-mail: jacameron@vassar.edu
Abstract/Résumé:
In this note we show that Kadison’s similarity problem for $C^*$-algebras is equivalent to a problem in perturbation theory: must close $C^*$-algebras have close commutants?
Dans cette note, nous montrons que le problème de similarité de Kadison est équivalent à la question suivante en théorie de la perturbation: les commutants de deux $C^*$-algèbres proches sont-ils nécessairement proches?
Keywords:
AMS Subject Classification: General theory of $C^*$-algebras 46L05
AMS Subject Classification: General theory of $C^*$-algebras 46L05
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A Remark on the Similarity and Perturbation Problems
