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math.FA2011
On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces
M. Jimenez-Sevilla, L. Sanchez-Gonzalez
Let and be Banach spaces, a closed subset of and a mapping . We give necessary and sufficient conditions to obtain a smooth mapping suc…
math.FA2011
Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions
J. A. Jaramillo, M. Jimenez-Sevilla, L. Sanchez-Gonzalez
In this note we give sufficient conditions to ensure that the weak Finsler structure of a complete Finsler manifold is determined by the normed algebra of all…