Published Paper
Inserted: 2 apr 2001
Last Updated: 5 dec 2002
Journal: J. Convex Anal.
Volume: 9
Number: 1
Pages: 225-236
Year: 2002
Abstract:
We give a characterization of all lower semicontinuous functionals on $L^\infty_\mu$ which can be represented in the form $\mu-\sup\{f(x,u)\colon x\in A\}$. We also show by a counterexample that the representation above may fail if the lower semicontinuity condition is dropped.
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