Abstract
We show via a Sobolev’s imbedding theorem that the evaluation functionals are the extreme points of a basis for the dual cone of the cone formed by real non-negative continuously differentiable functions on a bounded closed interval.
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da Silva, A.R. (1987). Evaluation Functionals are the Extreme Points of a Basis for the Dual de C +1 [a,b]. In: Jahn, J., Krabs, W. (eds) Recent Advances and Historical Development of Vector Optimization. Lecture Notes in Economics and Mathematical Systems, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46618-2_4
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DOI: https://doi.org/10.1007/978-3-642-46618-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18215-3
Online ISBN: 978-3-642-46618-2
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