Tangent Sets of Order One and Two to the Positive Cones of Some Functional Spaces

Tangent Sets of Order One and Two to the Positive Cones of Some Functional Spaces 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Tangent Sets of Order One and Two to the Positive Cones of Some Functional Spaces

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Publisher
Springer Journals
Copyright
Copyright © Inc. by 1997 Springer-Verlag New York
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s002459900064
Publisher site
See Article on Publisher Site

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.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Aug 1, 2089

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