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

Szczegóły
Abstrakt

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.
Data publikacji:: 2012
Słowa kluczowe:: Phi-variation in the sense of Schramm
uniformly continuous operator
regularization
composition operator
Jensen equation
locally defined operators
Język:: angielski
Dostawca treści:: BazTech
: Artykuł

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.

Informacja

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