Range-Kernel Orthogonality and Elementary Operators: The Nonsmoothness Case

الملخص EN

The characterization of the points in C1ℋ, 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.