Abstract
In the present paper, we prove spectral mapping theorem for (m,n)-paranormal operator T on a separable Hilbert space, that is, f (?w(T)) = ?w(f(T)) when f is an analytic function on some open neighborhood of ?(T). We also show that for (m,n)-paranormal operator T, Weyl?s theorem holds, that is, ?(T)-?w(T) = ?00(T). Moreover, if T is algebraically (m,n)-paranormal, then spectral mapping theorem and Weyl?s theorem hold.
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