Uniform boundedness principle for non-linear operators on cones of functions
classification
🧮 math.FA
keywords
boundednessconesfunctionsnon-linearoperatorsprincipleuniformapplicable
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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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