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An Example on Composite Differentiable Functions in Infinite Dimensions

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Jaramillo Aguado, Jesús Ángel (1989) An Example on Composite Differentiable Functions in Infinite Dimensions. Bulletin of the Australian Mathematical Society, 40 (1). pp. 91-95. ISSN 0004-9727

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Official URL: http://journals.cambridge.org/abstract_S000497270000352X


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Abstract

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


Item Type:Article
Uncontrolled Keywords:Weakly uniformly differentiable functions; Glaeser theorem; real-analytic mapping; Fréchet topology of uniform convergence on compact subsets of functions and all their derivatives
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:16854
Deposited On:24 Oct 2012 08:19
Last Modified:27 Jul 2018 07:27

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