Title

On Semi-weakly n-Hyponormal Weighted Shifts

Publication Date

2012

Journal

Integral Equations and Operator Theory

Volume

73

Issue

1

First Page

93

Last Page

106

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 (alpha) with alpha (0) = alpha (1) < alpha (2) which is not two-hyponormal, which illustrates the gaps between various weak subnormalities.

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