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A note on Riesz elements in C*-algebrasDOI: 10.1155/s0161171278000125 Keywords: C* algebra , quasinilpotent operators , Riesz elements. Abstract: It is known that every Riesz operator R on a Hilbert space can be written R=Q+C, where C is compact and both Q and CQ-QC are quasinilpotent. This result is extended to a general C*-algebra setting.
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