Geodesic
Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
W. Aziz1 ; J. Guerrero2 ; N. Merentes3
1 Departamento de Física y Matemática Universidad de Los Andes Trujillo, Venezuela
2 Departamento de Matemáticas y Física Universidad Nacional Experimental del Táchira San Cristóbal, Venezuela
3 Escuela de Matemáticas Universidad Central de Venezuela Caracas, Venezuela
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 1, pp. 39-45.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba58-1-5
Keywords: uniformly continuous convex compact valued nemytski composition operator acting spaces functions bounded varphi variation sense riesz generated affine function

W. Aziz 1 ; J. Guerrero 2 ; N. Merentes 3

1 Departamento de Física y Matemática Universidad de Los Andes Trujillo, Venezuela
2 Departamento de Matemáticas y Física Universidad Nacional Experimental del Táchira San Cristóbal, Venezuela
3 Escuela de Matemáticas Universidad Central de Venezuela Caracas, Venezuela 
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W. Aziz; J. Guerrero; 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, Tome 58 (2010) no. 1, pp. 39-45. doi : 10.4064/ba58-1-5. http://geodesic.mathdoc.fr/articles/10.4064/ba58-1-5/

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