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On approximate point joint spectrum of p-hyponormal and log-hyponormal operators

Chō M., Sołtysiak A., Yamazaki T.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2003

[Z] 43(1)

33-41

We show that the approximate point joint spectrum of an arbitrary n-tuple of p-hyponormal (or log-hyponormal) operators can be obtained from the spectral set 7 introduced by Mclntosh and Pryde. This is a generalization of a result proved by the second named author for hyponormal operators. We also obtain a similar result for log-hyponormal operators based on the polar decomposition.