@article {10.3844/jmssp.2012.150.153, article_type = {journal}, title = {Weyl’s Theorem for Algebraically Class A(s, t) Operators}, author = {Senthilkumar, D. and Kiruthika, D.}, volume = {8}, year = {2012}, month = {Feb}, pages = {150-153}, doi = {10.3844/jmssp.2012.150.153}, url = {https://thescipub.com/abstract/jmssp.2012.150.153}, abstract = {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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }