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Support functionals and smooth points in abstract |
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| Authors: | Wang Baoxiang Wang Tingfu |
| Affiliation: | Department of Mathematics, Hebei University, Baoding 071002, People's Republic of China ; Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, People's Republic of China |
| Abstract: | By presenting some properties of support functionals in abstract  spaces, we get some sufficient and necessary conditions for smooth points in abstract  (function) spaces. Moreover, the notion of the smallest support semi-norm is introduced and an explicit form for this functional in abstract  function spaces is also given. |
| Keywords: | Abstract $M$ (function) space support functional the smallest support semi-norm smooth point |
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