On the continuity of biconjugate convex functions.
| Autor: | J. M. Borwein, J. D. Vanderwerff |
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| Zdroj: | Proceedings of the American Mathematical Society; Jun2002, Vol. 130 Issue 6, p1797-1803, 7p |
| Abstrakt: | We show that a Banach space is a Grothendieck space if and only if every continuous convex function on $X$ has a continuous biconjugate function on $X^{**}$, thus also answering a question raised by S. Simons. Related characterizations and examples are given. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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