CFI算子与UW_(Π)性质

CFI Operators and Property UW_(Π)

本文利用一致Fredholm指标性质定义新的谱集,根据这个谱集给出了算子及其函数满足UW_(Π)性质的等价刻画.同时,考虑了算子与其伴随算子及其算子函数同时满足UW_(Π)性质的充要条件.最后,将本文所得到的主要结果应用于*-paranormal算子.

In this paper,using the new spectrum set defined by the property of consistency in Fredholm index,we characterize the property for bounded linear operators and their functions.Moreover,the sufficient and necessary conditions that an operator,its adjoint operator and their functions satisfy simultaneously the property UW_(Π)are investigated.As an application,the property UW_(Π)for*-paranormal operators is considered.