Uniformly continuous composition operators in the space of functions of two variables of bounded \(\varphi\)-variation in the sense of Wiener

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

Abstrakty

EN

Assume that the generator of a Nemytskii composition operator is a function of three variables: the first two real and third in a closed convex subset of a normed space, with values in a real Banach space. We prove that if this operator maps a certain subset of the Banach space of functions of two real variables of bounded Wiener \(\varphi\)-variation into another Banach space of a similar type, and is uniformly continuous, then the one-sided regularizations of the generator are affine in the third variable.

Słowa kluczowe

EN

\(\vaprhi\)-variation in the Wiener sense; composition operator; uniformly continuous operator; left-left regularization; Jensen equation

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: 50
• Numer: 1

Daty

wydano

2010

online

2017-12-19

Twórcy

autor

J. A. Guerrero

autor

J. Matkowski

autor

N. Merentes

Identyfikatory

DOI

10.14708/cm.v50i1.5299