Title:
|
The approximation and extension of uniformly continuous Banach space valued mappings (English) |
Author:
|
Levy, Ronnie |
Author:
|
Rice, Michael D. |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
24 |
Issue:
|
2 |
Year:
|
1983 |
Pages:
|
251-265 |
. |
Category:
|
math |
. |
MSC:
|
26A16 |
MSC:
|
41A30 |
MSC:
|
54C20 |
MSC:
|
54E15 |
idZBL:
|
Zbl 0544.41019 |
idMR:
|
MR711263 |
. |
Date available:
|
2008-06-05T21:14:50Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106224 |
. |
Reference:
|
[AP] N. ARONSZAJN P. PANITCHPAKDI: Extensions of uniformly continuous transformations and hyperconvex metric spaces.Pacific J. Math. 6 (1956), 405-439. MR 0084762 |
Reference:
|
[CK] H. H. CORSON V. KLEE: Topological classification of convex bodies.Proc. Symposia Pure Math. AMS (Convexity) 7 (1963), 37-51. MR 0161119 |
Reference:
|
[G] L. GEHÉR: Über Fortsetzungs- und Approximationprobleme für stetige Abbildungen von metrischen Räumen.Acta Sci. Math. Szeged 20 (1959), 48-66. MR 0126829 |
Reference:
|
[GZ] P. GRÜHBAUM E. ZARANTONELLO: On the extension of uniformly continuous mappings.Mich. Math. J. 15 (1968), 65-74. MR 0223506 |
Reference:
|
[Li] J. LINDENSTRAUSS: On non-linear projections in Banach spaces.Mich. Math. J. 11 (1964), 263-287. MR 0167821 |
Reference:
|
[LR1] R. LEVY M. D. RICE: The approximation and extension of uniformly continuous mappings.Fifth Prague Topological Symposium, August, 1981, Heldermann-Verlag, Berlin, 1982. MR 0698439 |
Reference:
|
[LR2] R. LEVY M. D. RICE: The extension of uniformly oontinuous mappings from subsets of metrio spaces.submitted to Amer. J. Math. |
Reference:
|
[LR3] 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. MR 0789274 |
Reference:
|
[LT] J. LINDENSTRATJSS L. TZAFRIRI: Classical Banach Spaces I.Sequence Spaces, Springer-Verlag, New York, 1977. MR 0500056 |
Reference:
|
[Pt] P. PTÁK: On extensions of uniformly continuous Banach space-valued mappings.Comment. Math. Univ. Carolinae 20 (1979), 101-105. MR 0526150 |
Reference:
|
[V] P. A. VALENTINE: A Lipschitz condition preserving extension for a vector function.Amer. J. Math. 67 (1945), 83-93. Zbl 0061.37507, MR 0011702 |
Reference:
|
[WW] J. H. WELLS L. R. WILLIAMS: Embeddings and Exteneions in Analysis.Springer-Verlag, New York, 1975. MR 0461107 |
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