TY  - JOUR
AU  - Senthilkumar, D. 
AU  - Kiruthika, D. 
PY  - 2012
TI  - Weyl’s Theorem for Algebraically Class A(s, t) Operators
JF  - Journal of Mathematics and Statistics
VL  - 8
IS  - 1
DO  - 10.3844/jmssp.2012.150.153
UR  - https://thescipub.com/abstract/jmssp.2012.150.153
AB  - 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.