A note on Riesz operators

Chui, C. K.; Smith, P. W.; Ward, J. D.

doi:10.1090/S0002-9939-1976-0417834-6

A note on Riesz operators
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by C. K. Chui, P. W. Smith and J. D. Ward

Proc. Amer. Math. Soc. 60 (1976), 92-94

DOI: https://doi.org/10.1090/S0002-9939-1976-0417834-6

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Abstract:

The purpose of this note is to settle a problem posed by Caradus, Pfaffenberger, and Yood; namely, it is proved that every Riesz operator R on a Hilbert space has a decomposition $R = C + Q$ where C is compact and both Q and $CQ - QC$ are quasinilpotent.

References

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