학술저널
Characterization of Weak Asplund Space in Terms of Positive Sublinear Functional
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 1, No. 1
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1988.0671 - 76 (6 pages)
- 0
For each continuous convex function φ defined on an open convex subset Aφ of a Banach space X, if we define a positively homogeneous sublinear functional σχ on X by σχ(y)=sup{f(y):f∈∂φ(χ)}, where ∂φ(χ) is a subdif-ferential of φ at x, then we get the following characterization theorem of Gateaux differentiability (weak Asplund) sapce.
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