Measure of Non-Radon–Nikodym Property and Differentiability of Convex Functions on Banach Spaces |
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| Authors: | Xi Yin Zheng |
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| Institution: | (1) Department of Mathematics, Yunnan University, Kunming, 650091, P.R. China |
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| Abstract: | We introduce and discuss measure of non-Radon–Nikodym property to investigate differentiability of continuous convex functions on Banach spaces. Using this new concept, we establish some results about Asplund spaces and generic Fréchet differentiability of continuous convex functions on non-Asplund spaces.Mathematics Subject Classifications (2000) 46B22, 49J50, 49J53. |
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| Keywords: | convex function differentiability measure of non-Radon– Nikodym property Asplund space |
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