There is no bilinear Bishop-Phelps theorem |
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| Authors: | María D. Acosta Francisco J. Aguirre Rafael Payá |
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| Affiliation: | (1) Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain |
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| Abstract: | We answer a question posed by R. Aron, C. Finet and E. Werner, on the bilinear version of the Bishop-Phelps theorem, by exhibiting an example of a Banach spaceX such that the set of norm-attaining bilinear forms onX×X is not dense in the space of all continuous bilinear forms. Research partially supported by D.G.I.C.Y.T., project no. PB93-1142. |
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