Banach空间若干凸性的一种等价刻画

An equivalent characterization of some convexities in Banach space

用统一且简洁形式处理Banach空间的一致凸、局一致凸、弱一致凸、弱局一致凸、严格凸及(M)性质和(WM)性质,给出了它们的一种等价刻画.

This paper uses uniform and simple form to treat uniformly convex, local uniformly convex, weak uniformly convex, weak local uniformly convex, strictly convex, （M） property and （WM） property in Banach space and an equivalence characterization of them in Banach space is given.