Smoothness of certain metric projections on Hilbert space

Holmes, Richard B.

doi:10.1090/S0002-9947-1973-0326252-2

Smoothness of certain metric projections on Hilbert space
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by Richard B. Holmes

Trans. Amer. Math. Soc. 184 (1973), 87-100

DOI: https://doi.org/10.1090/S0002-9947-1973-0326252-2

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Abstract:

A study is made of differential properties of the distance function and the metric projection defined by a closed convex subset of Hilbert space. The former mapping is also considered within the context of more general Banach spaces.

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