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On a Problem by R.A. Hirschfeld: Counterexample

Published online by Cambridge University Press:  20 November 2018

M. Edelstein
M. Edelstein*
Affiliation:
Dalhousie University
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The following question was asked by R. A. Hirschfeld in [1]: "E and F are Banach spaces, F reflexive, D is a subset of E and T: D→F a nonlinear contraction, i.e.,

Can T be extended to a contraction (for E = F = Hilbert space the answer is yes)."

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 6 , December 1965 , pp. 835
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Hirschfeld, R. A.: Extension of nonlinear contractions. Research Problem 5, Bull. Amer. Math. Soc. 71, (1965), p. 495.Google Scholar