[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2011.48.1.183

INHERITED PROPERTIES THROUGH 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, Eung-Il (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY)
Lee, Ji-Eun (INSTITUTE OF MATHEMATICAL SCIENCES EWHA WOMEN'S UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 183-195 More about this Journal

Abstract

In this paper we show that Helton class preserves the nilpotent and finite ascent properties. Also, we show some relations on non-transitivity and decomposability between operators and their Helton classes. Finally, we give some applications in the Helton class of weighted shifts.

Keywords

Helton class; nilpotent property; finite ascent property; essential spectra; decomposability;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 1 (Related Records In Web of Science)

Reference
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