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.

中文翻译：

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范围核正交和初等算子：非光滑情况

在点的特征，跟踪类的运营商，即正交基本运营商的范围已经对某些种类的基本运营商的许多作者在顺利的情况下进行。在本说明中，我们研究了对于普通初等算子来说，在非光滑情况下，表征是一个问题，并给出了S. Mecheri和M. Bounkhel结果的反例。