AB与BA正则性谱之间的关系

Relationships of the Spectrum of Regularity between Operators AB and BA

主要研究Banach空间X上AB和BA的正则性谱之间的关系,证明了σRi(AB)\{0}=σRi(BA)\{0}(其中i=1,…,15),并在A,B是单射的条件下得到了σR3(AB)=σR3(BA).

Study the relationships of the spectrum of regularity between the operators AB and BA,showing that σRi（AB）／{0}=σRi（BA）／{0},where i=1,…,15.Under the condition that A,B are injective,also obtain that σR3（AB）=σR3（BA）.