Open AccessAn explicit non-expansive function whose subdifferential is the entire dual ball
Author(s) -
Jonathan M. Borwein,
Scott Sciffer
Publication year - 2010
Publication title -
contemporary mathematics - american mathematical society
Language(s) - English
Resource type - Reports
SCImago Journal Rank - 0.106
H-Index - 12
eISSN - 1098-3627
pISSN - 0271-4132
DOI - 10.1090/conm/514/10101
Subject(s) - mathematics , expansive , subderivative , ball (mathematics) , entire function , dual (grammatical number) , mathematical analysis , pure mathematics , geometry , regular polygon , composite material , art , materials science , compressive strength , literature , convex optimization
We provide an explicit recipe for constructing a function on an arbitrary real Banach space whose Clarke and approximate subdifferentials are identically equal to the dual unit ball.
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