On Semi-weakly n-Hyponormal Weighted Shifts
- 114 Downloads
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.
Mathematics Subject Classification47B20 47B37
KeywordsHyponormal operators quadratically hyponormal operators polynomially hyponormal operators weakly n-hyponormal operators
Unable to display preview. Download preview PDF.
- 17.Wolfram Research, Inc. Mathematica, Version 8.0. Wolfram Research, Champaign (2010)Google Scholar