@article {10.3844/jmssp.2008.70.74,
article_type = {journal},
title = {Weyl's Type Theorems for Quasi-Class A Operators},
author = {Rashid, M.H.M. and Noorani, M.S.M. and Saari, A.S.},
volume = {4},
year = {2008},
month = {Jun},
pages = {70-74},
doi = {10.3844/jmssp.2008.70.74},
url = {https://thescipub.com/abstract/jmssp.2008.70.74},
abstract = {A variant of Weyl theorem for a class of quasi-class A acting on an infinite complex Hilbert space were discussed.  If the adjoint of T is a quasi-class A operator, then the generalized a-Weyl holds for f(T) , for every function that analytic on the spectrum of T. The generalized Weyl theorem holds for a quasi-class A was proved. Also, a characterization of the Hilbert space as a direct sum of range and kernel of a quasi-class A was given. Among other things, if the operator is a quasi-class A, then the B-Weyl spectrum satisfies the spectral theorem was characterized.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}