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Strictly convex normed linear spaces


Authors: S. Gudder and D. Strawther
Journal: Proc. Amer. Math. Soc. 59 (1976), 263-267
MSC: Primary 46B05
DOI: https://doi.org/10.1090/S0002-9939-1976-0417758-4
MathSciNet review: 0417758
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Abstract: A new characterization of strict convexity for complex normed linear spaces in terms of duality maps is given. It is then shown that many of the latest characterizations of strict convexity follow as simple corollaries.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0417758-4
Keywords: Strict convexity, normed linear spaces, Banach spaces, duality mappings, semi-inner-product spaces
Article copyright: © Copyright 1976 American Mathematical Society

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