Smooth norms that depend locally on finitely many coordinates
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- Proc. Amer. Math. Soc. 123 (1995), 3817-3821 Request permission
Abstract:
We characterize separable normed spaces that admit equivalent ${C^\infty }$-smooth norms depending locally on finitely many coordinates. It follows, in particular, that such norms exist on any normed space with countable algebraic basis.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3817-3821
- MSC: Primary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-1995-1285993-3
- MathSciNet review: 1285993