Strict convexity and smoothness of normed spaces

Author:
Mahlon M. Day

Journal:
Trans. Amer. Math. Soc. **78** (1955), 516-528

MSC:
Primary 46.0X

DOI:
https://doi.org/10.1090/S0002-9947-1955-0067351-1

MathSciNet review:
0067351

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References | Similar Articles | Additional Information

**[1]**L. Alaoglu and G. Birkhoff,*General ergodic theorems*, Ann. of Math. (2) vol. 41 (1940) pp. 293-309. MR**0002026 (1:339a)****[2]**J. A. Clarkson,*Uniformly convex spaces*, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 396-414. MR**1501880****[3]**S. Kakutani,*Simultaneous extension of continuous functions considered as a positive linear operation*, Jap. J. Math. vol. 17 (1940) pp. 1-4. MR**0002709 (2:104a)****[4]**V. L. Klee,*Convex bodies and periodic homeomorphisms in Hilbert space*, Trans. Amer. Math. Soc. vol. 74 (1953) pp. 10-43. MR**0054850 (14:989d)****[5]**E. Michael,*Some extension theorems for continuous functions*, Pacific Journal of Mathematics vol. 3 (1953) pp. 789-806. MR**0059541 (15:547a)****[6]**R. S. Phillips,*On weakly compact subsets of a Banach space*, Amer. J. Math. vol. 65 (1943) pp. 108-136. MR**0007938 (4:218f)**

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DOI:
https://doi.org/10.1090/S0002-9947-1955-0067351-1

Article copyright:
© Copyright 1955
American Mathematical Society