×
Abatzoglou, Theagenis

The metric projection on C2 manifolds in Banach spaces. (English) Zbl 0415.41023

J. Approximation Theory 26, 204-211 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0415.41023

Cited in 3 Documents

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50 Best approximation, Chebyshev systems

Keywords:

metric projection; C2 manifolds; Banach spaces; best approximation
Cite Review PDF
Full Text: DOI

References:

[1] Abatzoglou, T., The minimum norm projection on \(C^2\)-manifolds in \(R^n \), Trans. Amer. Math. Soc., 243, 115-122 (1978) · Zbl 0382.41019
[2] Cheney, E. W.; Goldstein, A. A., Mean square approximation by generalized rational functions, Math. Z., 95, 232-241 (1967) · Zbl 0162.08501
[3] Chui, C. K.; Rozema, E. R.; Smith, P. W.; Ward, J. D., Metric curvature, folding and unique best approximation, SIAM J. Math. Anal., 7, 436-449 (1976) · Zbl 0326.41021
[4] Chui, C. K.; Smith, P. W., Unique best nonlinear approximation in Hilbert spaces, (Proc. Amer. Math. Soc., 49 (1975)), 66-70 · Zbl 0299.41020
[5] Giles, J. R., On a characterization of differentiability of the norm of a normed linear space, J. Austral. Math. Soc., 12, 106-114 (1971) · Zbl 0207.43901
[6] Holmes, R., Smoothness of certain metric projections on Hilbert space, Trans. Amer. Math. Soc., 183, 87-100 (1973)
[7] Rice, J. R., Approximation of Functions II (1969), Addison-Wesley: Addison-Wesley Reading, Mass · Zbl 0185.30601
[8] Rozema, E. R.; Smith, P. W., Nonlinear approximation in uniformly smooth Banach spaces, Trans. Amer. Math. Soc., 188, 199-211 (1974) · Zbl 0251.41018
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.