Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions

DOI10.1016/S0362-546X(00)00187-5zbMath1002.49020WikidataQ56935789 ScholiaQ56935789MaRDI QIDQ5952714

Jon Vanderwerff, John R. Giles, Jonathan M. Borwein

Publication date: 15 January 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

rotundityClarke subdifferentialBaire categoryLipschitz separation propertypathological Lipschitz functions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

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Cites Work

• Some examples concerning rotundity in Banach spaces
• Approximation of Lipschitz functions by \(\Delta\)-convex functions in Banach spaces
• Banach Spaces that are Uniformly Rotund in Weakly Compact Sets of Directions
• Lipschitz functions with maximal Clarke subdifferentials are generic
• Extension of Lipschitz functions
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