The approximation and extension of uniformly continuous Banach space valued mappings

Ronnie Levy; Michael David Rice

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 2, page 251-265
  • ISSN: 0010-2628

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Levy, Ronnie, and Rice, Michael David. "The approximation and extension of uniformly continuous Banach space valued mappings." Commentationes Mathematicae Universitatis Carolinae 024.2 (1983): 251-265. <http://eudml.org/doc/17247>.

@article{Levy1983,
author = {Levy, Ronnie, Rice, Michael David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniformly continuous mappings; Hilbert spaces; Lipschitz mappings},
language = {eng},
number = {2},
pages = {251-265},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The approximation and extension of uniformly continuous Banach space valued mappings},
url = {http://eudml.org/doc/17247},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Levy, Ronnie
AU - Rice, Michael David
TI - The approximation and extension of uniformly continuous Banach space valued mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 2
SP - 251
EP - 265
LA - eng
KW - uniformly continuous mappings; Hilbert spaces; Lipschitz mappings
UR - http://eudml.org/doc/17247
ER -

References

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  1. N. ARONSZAJN P. PANITCHPAKDI, Extensions of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6 (1956), 405-439. (1956) MR0084762
  2. H. H. CORSON V. KLEE, Topological classification of convex bodies, Proc. Symposia Pure Math. AMS (Convexity) 7 (1963), 37-51. (1963) MR0161119
  3. L. GEHÉR, Über Fortsetzungs- und Approximationprobleme für stetige Abbildungen von metrischen Räumen, Acta Sci. Math. Szeged 20 (1959), 48-66. (1959) MR0126829
  4. P. GRÜHBAUM E. ZARANTONELLO, On the extension of uniformly continuous mappings, Mich. Math. J. 15 (1968), 65-74. (1968) MR0223506
  5. J. LINDENSTRAUSS, On non-linear projections in Banach spaces, Mich. Math. J. 11 (1964), 263-287. (1964) MR0167821
  6. R. LEVY M. D. RICE, The approximation and extension of uniformly continuous mappings, Fifth Prague Topological Symposium, August, 1981, Heldermann-Verlag, Berlin, 1982. (1981) MR0698439
  7. R. LEVY M. D. RICE, The extension of uniformly oontinuous mappings from subsets of metrio spaces, submitted to Amer. J. Math. 
  8. 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) MR0789274
  9. J. LINDENSTRATJSS L. TZAFRIRI, Classical Banach Spaces I, Sequence Spaces, Springer-Verlag, New York, 1977. (1977) MR0500056
  10. P. PTÁK, On extensions of uniformly continuous Banach space-valued mappings, Comment. Math. Univ. Carolinae 20 (1979), 101-105. (1979) MR0526150
  11. P. A. VALENTINE, A Lipschitz condition preserving extension for a vector function, Amer. J. Math. 67 (1945), 83-93. (1945) Zbl0061.37507MR0011702
  12. J. H. WELLS L. R. WILLIAMS, Embeddings and Exteneions in Analysis, Springer-Verlag, New York, 1975. (1975) MR0461107

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