Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz

W. Aziz, J. Guerrero, and N. Merentes. "Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz." Bulletin of the Polish Academy of Sciences. Mathematics 58.1 (2010): 39-45. <http://eudml.org/doc/281154>.

@article{W2010,
abstract = {We show that any uniformly continuous and convex compact valued Nemytskiĭ composition operator acting in the spaces of functions of bounded φ-variation in the sense of Riesz is generated by an affine function.},
author = {W. Aziz, J. Guerrero, N. Merentes},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {-variation in the sense of Riesz; set-valued functions; uniformly continuous composition operator; superposition (Nemytskii) operator; Jensen equation},
language = {eng},
number = {1},
pages = {39-45},
title = {Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz},
url = {http://eudml.org/doc/281154},
volume = {58},
year = {2010},
}

TY - JOUR
AU - W. Aziz
AU - J. Guerrero
AU - N. Merentes
TI - Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 1
SP - 39
EP - 45
AB - We show that any uniformly continuous and convex compact valued Nemytskiĭ composition operator acting in the spaces of functions of bounded φ-variation in the sense of Riesz is generated by an affine function.
LA - eng
KW - -variation in the sense of Riesz; set-valued functions; uniformly continuous composition operator; superposition (Nemytskii) operator; Jensen equation
UR - http://eudml.org/doc/281154
ER -