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On Properties of Class and -Paranormal Operators

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  • Xiaochun Li
  • Fugen Gao

Abstract

Let be a positive integer, and an operator is called a class operator if and -paranormal operator if for every unit vector , which are common generalizations of class and paranormal, respectively. In this paper, firstly we consider the tensor products for class operators, giving a necessary and sufficient condition for to be a class operator when and are both non-zero operators; secondly we consider the properties for -paranormal operators, showing that a -paranormal contraction is the direct sum of a unitary and a completely non-unitary contraction.

Suggested Citation

  • Xiaochun Li & Fugen Gao, 2014. "On Properties of Class and -Paranormal Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, March.
    • Handle: RePEc:hin:jnlaaa:629061
    DOI: 10.1155/2014/629061
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