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Linear structure of functions with maximal Clarke subdifferential| old_uid | 16929 |
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| title | Linear structure of functions with maximal Clarke subdifferential |
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| start_date | 2018/12/14 |
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| schedule | 11h30 |
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| online | no |
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| summary | We prove that the set of real valued Lipschitz functions defined over fnite dimensional spaces whose Clarke subdifferential is maximal at every point contains a linear subspace of uncountable dimension. This result goes in the line of a previous result by J. Borwein and X. Wang that shows some type of density in a similar context. Nevertheless, contrary to that result, our aproach is constructive. Moreover, in our setting we establish the spaceability of this property in the set of Lipschitz continuous functions. |
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| responsibles | Bachir |
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