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Weyl’s Theorem for Algebraically Paranormal Operators
Journal article   Peer reviewed

Weyl’s Theorem for Algebraically Paranormal Operators

Raúl Curto and Young Min Han
Integral Equations and Operator Theory, Vol.47(3), pp.307-314
11/2003
DOI: 10.1007/s00020-002-1164-1

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Abstract

Let T be an algebraically paranormal operator acting on Hilbert space. We prove : (i) Weyl’s theorem holds for f(T) for every f $\in$ H(σ(T)); (ii) a-Browder’s theorem holds for f(S) for every S $\prec$ T and f $\in$ H(σ(S)); (iii) the spectral mapping theorem holds for the Weyl spectrum of T and for the essential approximate point spectrum of T.
Secondary: 47B20 Weyl’s theorem Browder’s theorem algebraically paranormal operator Mathematics 47A53 a -Browder’s theorem Primary: 47A10 single valued extension property

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