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On Some Generalization Of Local Uniform Smoothness And Dual Concepts by Suyalatu is a Mathematics article available to read on EtoBox.
What is On Some Generalization Of Local Uniform Smoothness And Dual Concepts about?
In this paper, the conception of local k-uniform smoothness (LkUS) is introduced on the base of the concept of fc-uniform smoothness that introduced by Suyalatu and Wu Congxin. It is proved that the local ¿-uniform smoothness and Sullivan's local k-uniform rotundity (LkUR) are the dual notions. X is a LkUS space, then X is a L(k + 1 )US space. However, the converse need not be true. In addition, we also obtain two important results about LkUS space. Throughout this paper, X will denote a real Banach space and X\* will denote its conjugate space. Set S(X) = {x : x € X, ||a;|| = 1}, U(X) = {x:xeX, ||x|| < 1} , S x = {x\* : x\* 0, x € S(X), there is a 0 such that for xi,...,xk € S(X),
Who reads On Some Generalization Of Local Uniform Smoothness And Dual Concepts?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Suyalatu
- Publisher
- Walter de Gruyter GmbH
- Published
- 2000
- Language
- EN
- Field
- Mathematics (Physical Sciences)