WEYL TYPE THEOREM FOR QUASI - - CLASS A OPERATORS

Let T be a quasi - - class A operator on a complex Hilbert space H if T (|T 2 | |T | 2 )T 0. In this paper, we prove that the spectral mapping theorem for Weyl spectrum holds for quasi - - class A operators. Also we prove that the Weyl type theorems holds for quasi - - class A.