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http://dx.doi.org/10.4134/BKMS.2005.42.3.543

REMARKS ON SPECTRAL PROPERTIES OF p-HYPONORMAL AND LOG-HYPONORMAL OPERATORS

DUGGAL BHAGWATI P. (REDWOOD GROVE)
JEON, IN-HO (DEPARTMENT OF MATHMATHICS, EWHA WOMEN'S UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 543-554 More about this Journal

Abstract

In this paper it is proved that for p-hyponormal or log-hyponormal operator A there exist an associated hyponormal operator T, a quasi-affinity X and an injection operator Y such that TX = XA and AY = YT. The operator A and T have the same spectral picture. We apply these results to give brief proofs of some well known spectral properties of p-hyponormal and loghyponormal operators, amongst them that the spectrum is a continuous function on these classes of operators.

Keywords

p-hyponormal operator; log-hyponormal operator; spectral picture;

Citations & Related Records

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