The Bishop-Phelps-Bollobás Theorem for operators from c
0 to uniformly convex spaces |
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| Authors: | Sun Kwang Kim |
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| Institution: | 1. School of Mathematics, Korea Institute for Advanced Study (KIAS), 85 Hoegiro, Dongdaemun-gu, Seoul, 130-722, Republic of Korea
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| Abstract: | We show that the pair of Banach spaces (c 0, Y) has the Bishop-Phelps-Bollobás property when Y is uniformly convex. Further, when Y is strictly convex, if (c 0, Y) has the Bishop-Phelps-Bollobás property then Y is uniformly convex for the case of real Banach spaces. As a corollary, we show that the Bishop-Phelps-Bollobás theorem holds for bilinear forms on c 0 × ? p (1 < p < ∞). |
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