On the normal structure coefficient and the bounded sequence coefficient
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- by Teck-Cheong Lim PDF
- Proc. Amer. Math. Soc. 88 (1983), 262-264 Request permission
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 ${L^p}$, $p > 2$, is also given.References
- W. L. Bynum, Normal structure coefficients for Banach spaces, Pacific J. Math. 86 (1980), no. 2, 427–436. MR 590555
- Richard B. Holmes, A course on optimization and best approximation, Lecture Notes in Mathematics, Vol. 257, Springer-Verlag, Berlin-New York, 1972. MR 0420367
- Teck Cheong Lim, Characterizations of normal structure, Proc. Amer. Math. Soc. 43 (1974), 313–319. MR 361728, DOI 10.1090/S0002-9939-1974-0361728-X —, Fixed point theorems for uniformly Lipschitzian mappings in ${L^p}$ spaces, J. Nonlinear Anal. Theory, Method and Appl. (to appear).
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 262-264
- MSC: Primary 46B20; Secondary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0695255-2
- MathSciNet review: 695255