Abstract

A vectorin a separable infinite dimensional Hilbert spaceis called disk-cyclic for bounded operatorif the orbit �α� � �:� � 0,α∈�;|∝| � 1�is dense in � . The useful tool used to discover codisk-cyclic operation is called the disk-cyclic Criterion. In this paper we will show that some equivalent conditions of the disk- cyclic Criterion are obtain.

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