On Semi-weakly n-Hyponormal Weighted Shifts

Younghae Do; George Exner; Il Bong Jung; Chunji Li

doi:10.1007/s00020-012-1960-1

On Semi-weakly n-Hyponormal Weighted Shifts

Younghae Do, George Exner, Il Bong Jung, Chunji Li

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

11 Scopus citations

Abstract

Semi-weak n-hyponormality is defined and studied using the notion of positive determinant partition. Several examples related to semi-weakly n-hyponormal weighted shifts are discussed. In particular, it is proved that there exists a semi-weakly three-hyponormal weighted shift W _α with α ₀ = α ₁ < α ₂ which is not two-hyponormal, which illustrates the gaps between various weak subnormalities.

Original language	English
Pages (from-to)	93-106
Number of pages	14
Journal	Integral Equations and Operator Theory
Volume	73
Issue number	1
DOIs	https://doi.org/10.1007/s00020-012-1960-1
State	Published - May 2012

Keywords

Hyponormal operators
polynomially hyponormal operators
quadratically hyponormal operators
weakly n-hyponormal operators

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10.1007/s00020-012-1960-1

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abstract = "Semi-weak n-hyponormality is defined and studied using the notion of positive determinant partition. Several examples related to semi-weakly n-hyponormal weighted shifts are discussed. In particular, it is proved that there exists a semi-weakly three-hyponormal weighted shift W α with α 0 = α 1 < α 2 which is not two-hyponormal, which illustrates the gaps between various weak subnormalities.",

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KW - Hyponormal operators

KW - polynomially hyponormal operators

KW - quadratically hyponormal operators

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On Semi-weakly n-Hyponormal Weighted Shifts

Abstract

Keywords

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