Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense

Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense

We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-variation in the Schramm sense is affine. A composition operator is locally defined. We show that every locally defined operator mapping the space of continuous functions o...

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Bibliographic Details
Main Authors: Tomás Ereú, Nelson Merentes, José L. Sánchez, Małgorzata Wróbel
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2012-01-01
Series:Opuscula Mathematica
Subjects:
\(\Phi\)-variation in the sense of Schramm
uniformly continuous operator
regularization
Jensen equation
locally defined operators
Online Access:http://www.opuscula.agh.edu.pl/vol32/2/art/opuscula_math_3219.pdf

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