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

2018/03/12 by Peperko, Aljoša
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1803.04293

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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