A note on Riesz elements in C*-algebras

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.

Bibliographic Details
Main Author: David Legg
Format: Article
Language:English
Published: Hindawi Limited 1978-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171278000125