Multiplication Operators Between the Lipschitz Space and the Space of Bounded Functions on a Tree |
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| Authors: | Flavia Colonna Glenn Easley |
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| Institution: | 1. George Mason University, Fairfax, Virginia, U.S.A.
2. System Planning Corporation, Arlington, Virginia, U.S.A.
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| Abstract: | In this paper, we characterize the bounded and the compact multiplication operators between the space of bounded functions on the set of vertices of a rooted infinite tree T and the Banach space of complex-valued Lipschitz functions on T. We also determine the operator norm and the essential norm for the bounded multiplication operators between these spaces and show that there are no isometries among such operators. |
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