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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 1, Pages 93-96
doi:10.1155/S0161171278000125

A note on Riesz elements in C*-algebras

David Legg

Department of Mathematics, Indiana University-Purdue University, Fort Wayne, Indiana, USA

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.