Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener

• Autorzy: Azocar A. , Guerrero J. A. , Matkowski J. , Merentes N.
• Języki publikacji: EN

Abstrakty

EN

We show that the one-sided regularizations of the generator of any uniformly continuous and convex compact valued composition operator, acting in the spaces of functions of bounded variation in the sense of Wiener, is an affine function.

Słowa kluczowe

EN

phi-variation in the sense of Wiener; set-valued functions; left and right regularizations; uniformly continuous composition (Nemytskii) operator; Jensen equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2010
• Tom: Vol. 30, no. 1
• Strony: 53--60
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Azocar A.

autor

Guerrero J. A.

autor

Matkowski J.

autor

Merentes N.

• University of Zielona Góra Institute of Mathematics, Computer Science and Econometrics, ul. Podgórna 50, 65-246 Zielona Góra, Poland [J. Matkowski] Silesian University Institute of Mathematics ul. Bankowa 14, 40-007, Katowice, Poland,

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