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

Published 12 Mar 2018 in math.FA | (1803.04293v1)

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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