INHERITED PROPERTIES THROUGH THE HELTON CLASS OF AN OPERATOR

Title & Authors
INHERITED PROPERTIES THROUGH THE HELTON CLASS OF AN OPERATOR
Kim, In-Sook; Kim, Yoen-Ha; Ko, Eung-Il; Lee, Ji-Eun;

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;
Language
English
Cited by
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