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http://dx.doi.org/10.4134/BKMS.2009.46.3.535

SOME REMARKS ON THE HELTON CLASS OF AN OPERATOR  

Kim, In-Sook (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
Kim, Yoen-Ha (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
Ko, Eun-Gil (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
Lee, Ji-Eun (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 535-543 More about this Journal
Abstract
In this paper we study some properties of the Helton class of an operator. In particular, we show that the Helton class preserves the quasinilpotent property and Dunford's boundedness condition (B). As corollaries, we get that the Helton class of some quadratically hyponormal operators or decomposable subnormal operators satisfies Dunford's boundedness condition (B).
Keywords
Helton class; quasinilpotent property; Dunford's boundedness condition (B);
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