Finite-dimensional Banach spaces with a.e. differentiable metric projection
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- by Theagenis Abatzoglou PDF
- Proc. Amer. Math. Soc. 78 (1980), 492-496 Request permission
Abstract:
We prove that in a finite-dimensional Banach space, where the Hessian of the norm square is positive definite on the whole space, except possibly at 0, the metric projection onto any closed set is differentiable a.e.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 492-496
- MSC: Primary 41A50; Secondary 41A65
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556619-8
- MathSciNet review: 556619