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arXiv · 1803.04293

Uniform boundedness principle for non-linear operators on cones of functions

Aljoša Peperko
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Abstract

We prove an uniform boundedness principle for the Lipschitz seminorm of continuous, monotone, positively homogeneous and subadditive mappings on suitable cones of functions. The result is applicable to several classes of classically non-linear operators.

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Aljoša Peperko. 2018-03-12. Uniform boundedness principle for non-linear operators on cones of functions. https://arxiv.org/abs/1803.04293

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