Weyl�s Theorem for Algebraically Class A(s, t) Operators | Science Publications

Journal of Mathematics and Statistics

D. Senthilkumar¹  D. Kiruthika¹ 

关键词: Class A (s;    t);    SVEP;    isoloid;    Weyl;   

DOI  :  10.3844/jmssp.2012.150.153

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

In this study, we show that Weyl’s theorem holds for algebraically class A (s, t) operator acting on Hilbert space. We prove: (i) Weyl’s theorem holds for f (T) for every f belongs to holomorphic function of spectrum of T; (ii) generalized Weyl’s theorem holds for T; (iii) the spectral mapping theorem holds for the Weyl spectrum of T and for the essential approximate point spectrum of T.

【 授权许可】

Unknown