Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
Tom 58 / 2010
Bulletin Polish Acad. Sci. Math. 58 (2010), 39-45 MSC: 47B33, 26B30, 26E25, 26B40. DOI: 10.4064/ba58-1-5
We show that any uniformly continuous and convex compact valued Nemytski\u\i composition operator acting in the spaces of functions of bounded $\varphi $-variation in the sense of Riesz is generated by an affine function.