Inherited properties through the helton class of an operator

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

doi:10.4134/BKMS.2011.48.1.183

Inherited properties through 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

4 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	183-195
Number of pages	13
Journal	Bulletin of the Korean Mathematical Society
Volume	48
Issue number	1
DOIs	https://doi.org/10.4134/BKMS.2011.48.1.183
State	Published - Jan 2011

Keywords

Decomposability
Essential spectra
Helton class
Nilpotent property finite ascent property

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10.4134/BKMS.2011.48.1.183

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title = "Inherited properties through the helton class of an operator",

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

keywords = "Decomposability, Essential spectra, Helton class, Nilpotent property finite ascent property",

author = "Insook Kim and Yoenha Kim and Eungil Ko and Lee, {Ji Eun}",

year = "2011",

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doi = "10.4134/BKMS.2011.48.1.183",

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AU - Kim, Insook

AU - Kim, Yoenha

AU - Ko, Eungil

AU - Lee, Ji Eun

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N2 - In this paper we show that Helton class preserves the nilpotent and finite ascent properties. Also, we show some relations on nontransitivity and decomposability between operators and their Helton classes. Finally, we give some applications in the Helton class of weighted shifts.

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

KW - Decomposability

KW - Essential spectra

KW - Helton class

KW - Nilpotent property finite ascent property

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DO - 10.4134/BKMS.2011.48.1.183

M3 - Article

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SN - 1015-8634

VL - 48

SP - 183

EP - 195

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 1

ER -

Inherited properties through the helton class of an operator

Abstract

Keywords

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