A characterization of Hilbert space
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- by Ronald E. Bruck PDF
- Proc. Amer. Math. Soc. 43 (1974), 173-175 Request permission
Abstract:
A real Banach space $E$ of dimension $\geqq 3$ is an inner product space iff there exists a bounded smooth convex subset of $E$ which is the range of a nonexpansive retraction.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 173-175
- MSC: Primary 46C05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0341038-7
- MathSciNet review: 0341038