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Displaying similar documents to “On the Clarke’s generalized jacobian”

Approximation of Lipschitz Mappings

Johanis, Michal (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 46B03 We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping. Supported by grants GAUK 277/2001, GA CR 201-01-1198, AV 101-90-03. This paper is a part of PhD thesis prepared under the supervision of Professor Petr Hájek.

On the Composition Operator in AC[a,b].

Nelson Merentes (1991)

Collectanea Mathematica

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Denote by F the composition operator generated by a given function f: R --> R, acting on the space of absolutely continuous functions. In this paper we prove that the composition operator F maps the space AC[a,b] into itself if and only if f satisfies a local Lipschitz condition on R.