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On Property (M) and Its Generalizations

✍ Scribed by Hong-Kun Xu; G. Marino; P. Pietramala

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
96 KB
Volume
261
Category
Article
ISSN
0022-247X

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✦ Synopsis

Properties strict M and uniform M are introduced. It is shown that if X has Ε½ . property M and is uniformly convex in every direction, then X has both strict Ε½ .

Ε½ . Ε½ . M and uniform M . It is also shown that if X * is separable, then strict M Ε½ . Ε½ . implies uniform M and property M implies weak uniform normal structure. Relations with other geometrical properties of Banach spaces are also discussed.

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