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Vaníček, Jiří
On the characterization of Banach spaces with the strong Kirtzbraun-Valentine property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 5 (1964), issue 4, pp. 173-181
MSC: 46.10, 46Bxx | MR 0184071
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A theorem of Hahn-Banach type for locally convex topological spaces
On projections in Banach space
Concerning the papers of J. Vaníček
References:
[1] N. ARONSZAJN, P. PANITCHPAKDI: Extension of uniformly continuous transformations and hyperconvex metric spaces. Pacific J. of Math. 6, 1956, p. 405-439. MR 0084762 | Zbl 0074.17802
[2] S. BANACH: Theory of functions of real variables. Monogr. Math. Warsaw 1951 (Polish).
[3] M. M. DAY: Normed linear spaces. Springer, Berlin 1958. MR 0094675 | Zbl 0082.10603
[4] M. D. KIRTZBRAUN: Ueber die zusammenziehende und Lipschitzsche Transformationen. Fund. Math. 22, 1934, p. 77-108.
[5] E. J. Mc SHANE: Extension of range of functions. Bull. Amer. Math. Soc. 40 (1934), p. 837-842. MR 1562984
[6] F. A. VALENTINE: On the extension of a vector function so as to preserve a Lipschitz condition. Bull. Amer. Soc. 49, No. 2, 1934, p. 100-108. MR 0008251
[7] F. A. VALENTINE: A Lipschitz condition preserving extension for a vector function. Amer. J. of Math. 67, 1945, p. 83-93. MR 0011702 | Zbl 0061.37507
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