论文信息 - A counterexample to the Bishop-Phelps Theorem in complex spaces

A counterexample to the Bishop-Phelps Theorem in complex spaces

The Bishop-Phelps Theorem asserts that the set of functionals which attain the maximum value on a closed bounded convex subsetS of a real Banach spaceX is norm dense inX*. We show that this statement cannot be extended to general complex Banach spaces by constructing a closed bounded convex set with no support points.

Victor Lomonosov | V. Lomonosov

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