CECM, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B. C. V5A 1S6, Canada, firstname.lastname@example.org, and Department of Mathematics and Statistics, Western Michigan University, Kalamazoo, MI 49008, USA, email@example.com
Abstract: We show, largely using convex examples, that most of the core results for limiting subdifferential calculus fail without additional restrictions in infinite dimensional Banach spaces.
Keywords: Nonsmooth analysis, subdifferentials, coderivatives, extremal principle, open mapping theorem, metric regularity, multiplier rules, compactly Lipschitzian conditions
Classification (MSC2000): 26B05
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