Representation of Vector Valued Nonlinear Functions
Open Access
- 1 September 1971
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 159, 111-127
- https://doi.org/10.2307/1996001
Abstract
A representation theorem for ``additive'' nonlinear functional on spaces <!-- MATH ${L^p}(\mu )$ --> is here extended to ``additive'' nonlinear functions from Lebesgue-Bochner function spaces <!-- MATH $L_E^p(\mu )$ --> ( a separable Banach space) into Banach spaces . A counterexample is provided to show that the restriction to separable is essential.
Keywords
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