A characterization of strictly convex Banach spaces
HTML articles powered by AMS MathViewer
- by D. Strawther and S. Gudder PDF
- Proc. Amer. Math. Soc. 47 (1975), 268 Request permission
Abstract:
A very short proof is given for Petryshyn’s characterization of strictly convex Banach spaces [2].References
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
- W. V. Petryshyn, A characterization of strict convexity of Banach spaces and other uses of duality mappings, J. Functional Analysis 6 (1970), 282–291. MR 0287289, DOI 10.1016/0022-1236(70)90061-3
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 268
- DOI: https://doi.org/10.1090/S0002-9939-1975-0355542-X
- MathSciNet review: 0355542