Uniformly Continuous Superposition Operators In The Space Of Functions Of Bounded n-Dimensional Φ-Variation-Reference-Cited by-同舟云学术

Uniformly Continuous Superposition Operators In The Space Of Functions Of Bounded n-Dimensional Φ-Variation

Published:2014-03-01 Issue:1 Volume:47 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:
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Author:

Bracamonte Mireya,Ereú Jurancy,Giménez José,Merentes Nelson

Abstract

AbstractWe prove that if a superposition operator maps a subset of the space of all metric-vector-space-valued-functions of bounded n-dimensional Φ-variation into another such space, and is uniformly continuous, then the generating function of the operator is an affine function in the functional variable

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.2478/dema-2014-0005/pdf

Reference9 articles.

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