Abstract
This paper gives a characterization of a class of surjective isometries on spaces of Lipschitz functions with values in a finite dimensional complex Hilbert space.
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The research of Bentuo Zheng is partially supported by NSF DMS-1068838 and NSF DMS-0800061.
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Botelho, F., Jamison, J. & Zheng, B. Isometries on spaces of vector valued Lipschitz functions. Positivity 17, 47–65 (2013). https://doi.org/10.1007/s11117-011-0148-2
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DOI: https://doi.org/10.1007/s11117-011-0148-2
Keywords
- Spaces of vector valued Lipschitz functions
- Surjective isometries
- Isometric embedding of a space of Lipschitz functions into C(Ω)
- Extreme points of the unit ball of the dual of vector valued Lipschitz function spaces