Some remarks on the Helton class of an operator

Insook Kim; Yoenha Kim; Eungil Ko; Ji Eun Lee

doi:10.4134/BKMS.2009.46.3.535

Some remarks on the Helton class of an operator

Insook Kim, Yoenha Kim, Eungil Ko, Ji Eun Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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).

Original language	English
Pages (from-to)	535-543
Number of pages	9
Journal	Bulletin of the Korean Mathematical Society
Volume	46
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.2009.46.3.535
State	Published - May 2009

Keywords

Dunford's boundedness condition (B)
Helton class
Quasinilpotent property

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10.4134/BKMS.2009.46.3.535

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Some remarks on the Helton class of an operator

Abstract

Keywords

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