Weak compactness in spaces of bochner integrable functions and applications
نویسندگان
چکیده
منابع مشابه
Various Notions of Best Approximation Property in Spaces of Bochner Integrable Functions
We show that a separable proximinal subspace of X, say Y is strongly proximinal (strongly ball proximinal) if and only if Lp(I, Y ) is strongly proximinal (strongly ball proximinal) in Lp(I,X), for 1 ≤ p <∞. The p =∞ case requires a stronger assumption, that of ’uniform proximinality’. Further, we show that a separable subspace Y is ball proximinal in X if and only if Lp(I, Y ) is ball proximin...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1977
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(77)80017-0