An Example of a Banach Space with Non-Lipschitzian Metric Projection on Any Straight Line

Author:

Burusheva L. Sh.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference6 articles.

1. T. J. McMinn, “On the line segments of a convex surface in $$E_3$$,” Pacific J. Math. 10 (3), 943–946 (1960).

2. A. S. Besicovitch, “On the set of directions of linear segments on a convex surface,” in Proc. Sympos. Pure Math. (Amer. Math. Soc., Providence, RI, 1963), Vol. 7, pp. 24–25.

3. V. A. Zalgaller, “On $$k$$-dimensional directions which are singular for a convex body $$F$$ in $$R^n$$,” in Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova (LOMI), Vol. 27: Boundary-Value Problems of Mathematical Physics and Related Questions of Function Theory 6 (Izd. “Nauka”, Leningrad Branch, Leningrad, 1972), pp. 67–72 [in Russian].

4. R. Holmes and B. Kripke, “Smoothness of Approximation,” Michigan Math. J. 15 (2), 225–248 (1968).

5. V. I. Berdyshev, “Spaces with a uniformly continuous metric projection,” Math. Notes 17 (1), 3–8 (1975).

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