On the Path Components of Composition Operators on H(D)
نویسنده
چکیده
We consider the topological space of composition operators C(H2) on the Hardy space H2(D) of the unit disc D with operator norm topology. We prove a necessary condition for two composition operators to lie in the same path components and as a consequence we are able to determine path components of composition operators induced by analytic self-maps of the unit disc D which are analytic in a neighborhood of the closed unit disc D. We also provide necessary and sufficient conditions for differences of such operators to be compact
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تاریخ انتشار 2005