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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Irreducible representations of the $ C\sp{\ast} $-algebra generated by an $ n$-normal operator


Authors: John W. Bunce and James A. Deddens
Journal: Trans. Amer. Math. Soc. 171 (1972), 301-307
MSC: Primary 46L05; Secondary 47B20
MathSciNet review: 0306930
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Abstract: For $ A$ an $ n$-normal operator on Hilbert space, we determine the irreducible representations of $ {C^ \ast }(A)$, the $ {C^ \ast }$-algebra generated by $ A$ and the identity. For $ A$ a binormal operator, we determine an explicit description of the topology on the space of unitary equivalence classes of irreducible representations of $ {C^ \ast }(A)$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0306930-0
PII: S 0002-9947(1972)0306930-0
Keywords: Irreducible representations, spectrum, $ n$-normal operator, binormal operator
Article copyright: © Copyright 1972 American Mathematical Society