, Volume 13, Issue 3, pp 307-315

Onp-hyponormal operators for 0<p<1

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Abstract

The distance formula ‖Tt-λI)−1‖=[Dist(λ, σ(T)]−1, λ∉σ(T), for hyponormal operators, is generalized top-hyponormal operators for 0<p<1. Several other results involving eigenspaces ofU and |T|, the joint point spectrum, and the spectral radius are also otained, where |T|=(T * T)1/2 andU is the unitary operator in the polar decomposition of thep-hyponormal operatorT=U|T|.