Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
W. Aziz ; J. Guerrero ; N. Merentes
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010), p. 39-45 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281154 
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     author = {W. Aziz and J. Guerrero and N. Merentes},
     title = {Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {58},
     year = {2010},
     pages = {39-45},
     zbl = {1202.47027},
     language = {en},
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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) pp. 39-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-1-5/