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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On complex strict and uniform convexity
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by J. Globevnik PDF
Proc. Amer. Math. Soc. 47 (1975), 175-178 Request permission

Abstract:

Strict and uniform $c$-convexity of complex normed spaces are introduced as a natural generalization of strict and uniform convexity. It is proved that the complex space ${L_1}(S,\sigma ,\mu )$ is uniformly $c$-convex. An application to analytic functions is given.
References
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 47 (1975), 175-178
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0355564-9
  • MathSciNet review: 0355564