The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Some properties of quasinormal, paranormal and 2-k* paranormal operators


Shqipe Lohaj

Department of Mathematics,
University of Prishtina,
10000, Kosova.


In the beginning of this paper some conditions under which an operator is partial isometry are given. Further, the class of 2-k* paranormal operators is defined and some properties of this class in Hilbert space are shown. It has been proved that an unitarily operator equivalent with an operator of a 2-k* paranormal operator is a 2-k* paranormal operator, and if is a 2-k* paranormal operator, that commutes with an isometric operator, then their product also is a $2-k^*$ paranormal operator.

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