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弱紧集上的2-Rotund范数

DOI: 10.11830/ISSN.1000-5013.2012.03.0357, PP. 357-360

Keywords: Banach空间,弱紧集,R范数,wR范数

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Abstract:

设C是Banach空间(X,‖.‖)弱紧凸子集,P为X上等价范数的全体,证明X在C上满足weakly2-Rotund(w2R)性质的等价范数全体为P的剩余集;当C是可分时,上述w2R性质可替换为2R性质,推广了罗正华的研究结论.

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