Paper Title:

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

Author(s):

Shqipe Lohaj

Department of Mathematics,
University of Prishtina,
10000, Kosova.
E-mail: shqipe.lohaj@uni-pr.edu

Abstract:

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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