- Tytuł:
- 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. - Powiązania:
- https://bibliotekanauki.pl/articles/255979.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Phi-variation in the sense of Schramm
uniformly continuous operator
regularization
composition operator
Jensen equation
locally defined operators - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2012, 32, 2; 239-247
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł