Essentially smooth Lipschitz functions

Title: Essentially smooth Lipschitz functions
Creator: Borwein, Jonathan M.; Moors, Warren B.
Relation: Journal of Functional Analysis Vol. 149, Issue 2, p. 305-351
Publisher Link: http://dx.doi.org/10.1006/jfan.1997.3101
Publisher: Academic Press
Resource Type: journal article
Date: 1997
Description: In this paper we address some of the most fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on separable Banach spaces. For example, we examine the relationship between integrability, D-representability, and strict differentiability. In addition to this, we show that on any separable Banach space there is a significant family of locally Lipschitz functions that are integrable, D-representable and possess desirable differentiability properties. We also present some striking applications of our results to distance functions.
Subject: Lipschitz functions; Banach spaces; differentiability; integrability; D-representability
Identifier: http://hdl.handle.net/1959.13/940795
Identifier: uon:13099
Identifier: ISSN:0022-1236
Language: eng
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