TY  - JOUR
ID  - Ereú2012
LB  - Ereú2012
AU  - Ereú, Tomás
AU  - Merentes, Nelson
AU  - Sánchez, José L.
AU  - Wróbel, Małgorzata
TI  - Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense
ST  - Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 2
SP  - 239
EP  - 247
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.2.239
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.2.239
AB  - We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-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.
KW  - \(\Phi\)-variation in the sense of Schramm
KW  - uniformly continuous operator
KW  - regularization
KW  - Jensen equation
KW  - locally defined operators
SN  - 1232-9274
ER  -