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A Generalization of Uniformly Extremely Convex Banach Spaces
2016
Journal of Function Spaces
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We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes ofk-uniformly rotund spaces andk-strongly convex spaces or classes of fullyk-convex spaces andk-strongly convex spaces and has no inclusive relation with the class of locallyk-uniformly convex spaces. We obtain in addition some characterizations and properties of this new class
doi:10.1155/2016/9161252
fatcat:bal2o4swr5fgtlex5zk5twgrze