The approximation and extension of uniformly continuous Banach space valued mappings
Levy, Ronnie ; Rice, Michael David
Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983), p. 251-265 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1983-01-01
Classification:  26A16,  41A30,  54C20,  54E15 
@article{106224,
     author = {Ronnie Levy and Michael David Rice},
     title = {The approximation and extension of uniformly continuous Banach space valued mappings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {024},
     year = {1983},
     pages = {251-265},
     zbl = {0544.41019},
     mrnumber = {711263},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106224}
}

Levy, Ronnie; Rice, Michael David. The approximation and extension of uniformly continuous Banach space valued mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983) pp. 251-265. http://gdmltest.u-ga.fr/item/106224/

N. Aronszajn P. Panitchpakdi Extensions of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6 (1956), 405-439. (1956) | MR 0084762

H. H. Corson V. Klee Topological classification of convex bodies, Proc. Symposia Pure Math. AMS (Convexity) 7 (1963), 37-51. (1963) | MR 0161119

L. Gehér Über Fortsetzungs- und Approximationprobleme für stetige Abbildungen von metrischen Räumen, Acta Sci. Math. Szeged 20 (1959), 48-66. (1959) | MR 0126829

P. Grühbaum E. Zarantonello On the extension of uniformly continuous mappings, Mich. Math. J. 15 (1968), 65-74. (1968) | MR 0223506

J. Lindenstrauss On non-linear projections in Banach spaces, Mich. Math. J. 11 (1964), 263-287. (1964) | MR 0167821

R. Levy M. D. Rice The approximation and extension of uniformly continuous mappings, Fifth Prague Topological Symposium, August, 1981, Heldermann-Verlag, Berlin, 1982. (1981) | MR 0698439

R. Levy M. D. Rice The extension of uniformly oontinuous mappings from subsets of metrio spaces, submitted to Amer. J. Math.

R. Levy M. D. Rice The extension of uniformly continuous Banach space-valued mappings, Special Session on Rings of Continuous Functions, Winter meeting AMS, 1982, to appear in Marcel Dekker Lecture Notes. (1982) | MR 0789274

J. Lindenstratjss L. Tzafriri Classical Banach Spaces I, Sequence Spaces, Springer-Verlag, New York, 1977. (1977) | MR 0500056

P. Pták On extensions of uniformly continuous Banach space-valued mappings, Comment. Math. Univ. Carolinae 20 (1979), 101-105. (1979) | MR 0526150

P. A. Valentine A Lipschitz condition preserving extension for a vector function, Amer. J. Math. 67 (1945), 83-93. (1945) | MR 0011702 | Zbl 0061.37507

J. H. Wells L. R. Williams Embeddings and Exteneions in Analysis, Springer-Verlag, New York, 1975. (1975) | MR 0461107