摘 要: | Let T be an operator on a separable Hilbert space H and T=U|T|bethe polaf decomposition.T is said to be log-ω-hyponormal if log|T|≥log|T|≥log|(T)*|In this paper we prove that the point spectrum of T is equal to its joint point spectrum if T is log-ω-hyponormal.We also prove that a log-ω-hyponormal operator is normaloid,i.e.,r(T)=‖T‖.Finally,we obtain Putnam's theorem for log-ω-hyponormal Operators.
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