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In this study, we show that Weylâs theorem holds for algebraically class A (s, t) operator acting on Hilbert space. We prove: (i) Weylâs theorem holds for f (T) for every f belongs to holomorphic function of spectrum of T; (ii) generalized Weylâ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

Weylâs Theorem for Algebraically Class A(s, t) Operators

Weylâs Theorem for Algebraically Class A(s, t) Operators