提要证明了拟-*-仿正规压缩算子是酉算子与完全非酉C.0-压缩算子的直和.并证明了若T是代数拟-*-仿正规算子,则T有单值扩展性质(简记为SVEP)且是极.作为这些性质的应用,研究了此类算子的Weyl型定理.
The authors show that the quasi-*-paranormal contraction is the direct sum of a unitary and a C.0 completely non-unitary contraction. It is proved that if T is an algebraically quasi-,-paranormal operator, then (SVEP, for short) and T is a polaroid. As an theorem is studied. T has the single-valued extension property application of these properties, Weyl type theorem is studied.