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<datestamp>2017-12-21</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Asplund spaces, Stegall variational principle and the RNP</title>
<creator>Lassonde, Marc</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0927-6947</source>
<source>EISSN: 1572-932X</source>
<source>Set-Valued Analysis</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-00694604</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00694604</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00694604</source>
<source>Set-Valued Analysis, Springer Verlag, 2009, 17 (2), pp.183-193</source>
<language>en</language>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>Given a pair of Banach spaces X and Y such that one is the dual of the other, we study the relationships between generic Fréchet differentiability of convex continuous functions on Y (Asplund property), generic existence of linear perturbations for lower semicontinuous functions on X to have a strong minimum (Stegall variational principle), and dentability of bounded subsets of X (Radon-Nikodým Property).</description>
<date>2009</date>
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