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Range-Kernel Orthogonality and Elementary Operators: The Nonsmoothness Case

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  • A. Bachir
  • A. Segres
  • Nawal Sayyaf

Abstract

The characterization of the points in , the trace class operators, that are orthogonal to the range of elementary operators has been carried out for certain kinds of elementary operators by many authors in the smooth case. In this note, we study that the characterization is a problem in nonsmoothness case for general elementary operators, and we give a counter example to S. Mecheri and M. Bounkhel results.

Suggested Citation

  • A. Bachir & A. Segres & Nawal Sayyaf, 2020. "Range-Kernel Orthogonality and Elementary Operators: The Nonsmoothness Case," Complexity, Hindawi, vol. 2020, pages 1-7, June.
    • Handle: RePEc:hin:complx:5657678
    DOI: 10.1155/2020/5657678
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