On the normal structure coefficient and the bounded sequence coefficient

Author:

Lim Teck-Cheong

Abstract

The two notions of normal structure coefficient and bounded sequence coefficient introduced by Bynum are shown to be the same. A lower bound for the normal structure coefficient in L p {L^p} , p > 2 p > 2 , is also given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

1. Normal structure coefficients for Banach spaces;Bynum, W. L.;Pacific J. Math.,1980

2. Lecture Notes in Mathematics, Vol. 257;Holmes, Richard B.,1972

3. Characterizations of normal structure;Lim, Teck Cheong;Proc. Amer. Math. Soc.,1974

4. \bysame, Fixed point theorems for uniformly Lipschitzian mappings in 𝐿^{𝑝} spaces, J. Nonlinear Anal. Theory, Method and Appl. (to appear).

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