On vector valued function approximation using a peak norm |
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| Authors: | Li Chong G A Watson |
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| Institution: | (1) Department of Mathematics, Hangzhou Institute of Commerce, 310035 Hangzhou, P. R. China;(2) Department of Mathematics and Computer Science, University of Dundee, DD14HN Dundee, Scotland |
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| Abstract: | A peak norm is defined for Lp spaces of E-valued Bochner integrable functions, where E is a Banach space, and best approximations from a sun to elements
of the space are characterized. Applications are given to some families of simultaneous best approximation problems. |
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