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Subdifferential representation of homogeneous functions and extension of smoothness in Banach spaces

โœ Scribed by Fu Chun Yang; Zhou Wei; Dong Wang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
205 KB
Volume
26
Category
Article
ISSN
1439-7617

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Let E be a separable Banach space with separable dual. We show that the operation of subdi erentiation and the inverse operation are Borel from the convex functions on E into the monotone operators on E (subspace of the closed sets of E ร— E \* ) for the E ros-Borel structures. We also prove that th