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Uniform Boundedness Principle for Nonlinear Operators on Cones of Functions

Aljoša PeperkoFaculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, SI-1000 Ljubljana, Slovenia
2018en
ABI

Аннотация

We prove a 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 nonlinear operators.

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