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

• Autorzy: Ereu T. , Merentes N. , Sanchez J. L. , Wróbel M.
• Języki publikacji: EN

Abstrakty

EN

We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized Φ-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 of bounded (in the sense of Jordan) variation into the space of continous monotonic functions is constant.

Słowa kluczowe

EN

Phi-variation in the sense of Schramm; uniformly continuous operator; regularization; composition operator; Jensen equation; locally defined operators

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 2
• Strony: 239--247
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Ereu T.

autor

Merentes N.

autor

Sanchez J. L.

autor

Wróbel M.

• Jan Długosz University Institute of Mathematics and Computer Science 42-200 Częstochowa, Poland [M. Wróbel],

Bibliografia

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