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A Drazin invertible operator T ? B(H) is called skew D-quasi-normal operator if T* and TTD commute or equivalently TTD is normal. In this paper, firstly we give a list… Click to show full abstract
A Drazin invertible operator T ? B(H) is called skew D-quasi-normal operator if T* and TTD commute or equivalently TTD is normal. In this paper, firstly we give a list of conditions on an operator T; each of which is equivalent to T being skew D-quasi-normal. Furthermore, we obtain the matrix representation of these operators. We also develop some basic properties of such operators. Secondly we extend the Kaplansky theorem and the Fuglede-Putnam commutativity theorem for normal operators to skew D-quasi-normal matrices.
Keywords:
skew quasi;
ttd normal;
operators ttd;
quasi normal;
linear operators
Journal Title: Filomat
Year Published: 2019
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!