Article contents
On extremal points of the unit ball in the Banach space of Lipschitz continuous functions
Published online by Cambridge University Press: 09 April 2009
Abstract
It is shown that for arbitrary ε > 0 there is a function x(t, x) defined on the square [0,1] × [0,1] such that x(t, s) represents an extremal point of the unit ball in the space of Lipschitz continuous functions, and the gradient of x(t, s) is equal to 0 except on a set of measure at most ε.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1986
References
- 4
- Cited by