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An example on composite differentiable functions in infinite dimensions

Published online by Cambridge University Press:  17 April 2009

J.A. Jaramillo
J.A. Jaramillo
Affiliation:
Departmento de Análisis Matemático, Universidad Complutense, 28040 Madrid, Spain.
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Abstract

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We present an example showing that a classical result due to Glaeser about the closedness of composition subalgebras of infinitely differentiable functions cannot be extended to the case of weakiy uniformly differentiable functions on Banach spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 1 , August 1989 , pp. 91 - 95
Copyright
Copyright © Australian Mathematical Society 1989

References

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