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SPECTRAL CONTINUITY OF ESSENTIALLY p-HYPONORMAL OPERATORS
In this paper it is shown that the spectrum <TEX>${\sigma}$</TEX> is continuous at every p-hyponormal operator when restricted to the set of essentially p-hyponormal operators and moreover <TEX>${\sigma}$</TEX> is continuous when restricted to the set of compact perturbations of p-hyponormal operators whose spectral pictures have no holes associated with the …