A characterization of strictly convex Banach spaces
Abstract: A very short proof is given for Petryshyn's characterization of strictly convex Banach spaces .
-  Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers, Ltd., London, 1958. 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
- N. Dunford and J. T. Schwartz, Linear operators. I: General theory, Pure and Appl. Math., vol. 7, Interscience, New York and London, 1958. MR 22 #8302. MR 0117523 (22:8302)
- W. Petryshyn, A characterization of strict convexity of Banach spaces and other uses of duality mappings, J. Functional Analysis 6 (1970), 282-291. MR 44 #4496. MR 0287289 (44:4496)
Keywords: Banach spaces, strict convexity, duality mappings
Article copyright: © Copyright 1975 American Mathematical Society