For an arbitrary operator T acting on a Hilbert space we consider a field of operators \(\left( \Delta _{z}(T)\right) \) called the Aluthge operator field associated with T. After giving preliminary results, we establish that two fields (left and right), canonically linked to the Altuthge field \(\left( \Delta _{z}(T)\right) \) and a support subspace, are constant on each horizontal segment where they are defined. This result leads to a positive solution of a conjecture stated by Jung-Ko-Pearcy in 2000. Then we do a detailed spectral study of \(\left( \Delta _{z}(T)\right) \) and we give a Yamazaki type formula in this context.

对于作用于希尔伯特空间的任意算子T，我们考虑一个算子域\(\left( \Delta _{z}(T)\right) \)，称为与T关联的 Aluthge 算子域。在给出初步结果后，我们确定两个场（左和右），规范地链接到 Altuthge 场\(\left( \Delta _{z}(T)\right) \)和一个支持子空间，在每个场上都是常数定义它们的水平段。这个结果导致了 Jung-Ko-Pearcy 在 2000 年提出的猜想的正解。然后我们对\(\left( \Delta _{z}(T)\right) \)进行了详细的谱研究，我们给出在这种情况下，山崎型公式。