Normal structure, slices and other properties in Banach spaces
نویسندگان
چکیده
In this paper, we introduce parameters slε(X) and sl0(X) based on slices of Banach space X . Using these parameters we describe some new properties of Banach spaces related to normal structure, uniformly non-squareness and others. In particular, we prove that if sl 2 3 (X) < 2, then X has normal structure, and sl0(X) = ε0(X) where ε0(X) is the characteristic of convexity of X . In addition, we give much more results about the modulus of NUC on X , and the modulus of UKK∗ on the dual space X∗ of X . Key–Words: fixed point, modulus of NUC, modulus of UKK*, normal structure, Slices, super-reflexive, and ultraproduct space.
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تاریخ انتشار 2012