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Smooth extensions of functions on separable Banach spaces

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An Erratum to this article was published on 01 September 2010

Abstract

Let X be a Banach space with a separable dual X*. Let \({Y\subset X}\) be a closed subspace, and \({f:Y\rightarrow\mathbb{R}}\) a C 1-smooth function. Then we show there is a C 1 extension of f to X.

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Authors and Affiliations

  1. ICMAT (CSIC-UAM-UC3-UCM), Departamento de Análisis Matemático, Facultad Ciencias Matemáticas, Universidad Complutense, 28040, Madrid, Spain

    D. Azagra

  2. Department of Mathematics and Statistics, Thompson Rivers University, Kamloops, BC, Canada

    R. Fry

  3. Department of Mathematics and Statistics, University of Northern British Columbia, Prince Georege, BC, Canada

    L. Keener

Authors
  1. D. Azagra
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  2. R. Fry
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  3. L. Keener
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Corresponding author

Correspondence to R. Fry.

Additional information

R. Fry was partly supported by NSERC (Canada).

An erratum to this article can be found at http://dx.doi.org/10.1007/s00208-010-0576-5

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Azagra, D., Fry, R. & Keener, L. Smooth extensions of functions on separable Banach spaces. Math. Ann. 347, 285–297 (2010). https://doi.org/10.1007/s00208-009-0441-6

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  • DOI: https://doi.org/10.1007/s00208-009-0441-6

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