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2013 Weighted composition operators between vector-valued Lipschitz function spaces
E. Esmaeili, H. Mahyar
Banach J. Math. Anal. 7(1): 59-72 (2013). DOI: 10.15352/bjma/1358864548

Abstract

We give necessary and sufficient conditions for the boundedness and compactness of weighted composition operators between spaces of vector-valued Lipschitz functions. We then show that a bounded separating linear operator between these spaces is indeed a weighted composition operator.

Citation

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E. Esmaeili. H. Mahyar. "Weighted composition operators between vector-valued Lipschitz function spaces." Banach J. Math. Anal. 7 (1) 59 - 72, 2013. https://doi.org/10.15352/bjma/1358864548

Information

Published: 2013
First available in Project Euclid: 22 January 2013

zbMATH: 1307.47020
MathSciNet: MR3004266
Digital Object Identifier: 10.15352/bjma/1358864548

Subjects:
Primary: 47B33
Secondary: 46E40 , 47B38

Keywords: compact linear operator , disjointness preserving operator , separating map , Vector-valued Lipschitz function space , Weighted composition operator

Rights: Copyright © 2013 Tusi Mathematical Research Group

Vol.7 • No. 1 • 2013
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