Tangent Sets of Order One and Two to the Positive Cones of Some Functional Spaces |
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| Authors: | Cominetti R -P Penot J |
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| Institution: | (1) Departamento de Ingenierí a Matemática, Universidad de Chile, Casilla 170/3 Correo 3, Santiago, Chile , CL;(2) Département de Mathématiques, CNRS URA 1204, Faculté des Sciences, Av. de l'Université, 64000 Pau, France, FR |
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| Abstract: | We compute the tangent cone and the tangent set of order two to the positive cone of some important functional spaces such
as the space C(K) of continuous functions on a compact space and the space L_p(Q) of p-integrable functions on a measured space. The results are applied to the calculus of derivatives of order one and two of
marginal functions.
Accepted 19 April 1996 |
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| Keywords: | , Tangent sets, Optimality conditions, Positive cone, Epiconvergence, AMS Classification, 46B20, 46E15, 46E30, 46N10, |
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