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Bishop–Phelps theorem : ウィキペディア英語版 | Bishop–Phelps theorem In mathematics, the Bishop–Phelps theorem is a theorem about the topological properties of Banach spaces named after Errett Bishop and Robert Phelps, who published its proof in 1961. Its statement is as follows. : Let ''B'' ⊂ ''E'' be a bounded, closed, convex set of a Banach space ''E''. Then the set :: : is norm-dense in the dual . ==See also==
*Banach–Alaoglu theorem *Eberlein–Šmulian theorem *Mazur's lemma *James' theorem *Goldstine theorem
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