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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Bibliografische gegevens
Hoofdauteurs: Tomás Ereú, Nelson Merentes, José L. Sánchez, Małgorzata Wróbel
Formaat: Artikel
Taal:English
Gepubliceerd in: AGH Univeristy of Science and Technology Press 2012-01-01
Reeks:Opuscula Mathematica
Onderwerpen:
Online toegang:http://www.opuscula.agh.edu.pl/vol32/2/art/opuscula_math_3219.pdf