The linear modulus of an integral operator
A. C. Zaanen (1972)
Mémoires de la Société Mathématique de France
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Displaying similar documents to “A Perron-type integral of order for Riesz spaces”
The linear modulus of an integral operator
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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.
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In this article, we formalize in the Mizar system [1, 4] the F. Riesz theorem. In the first section, we defined Mizar functor ClstoCmp, compact topological spaces as closed interval subset of real numbers. Then using the former definition and referring to the article [10] and the article [5], we defined the normed spaces of continuous functions on closed interval subset of real numbers, and defined the normed spaces of bounded functions on closed interval subset of real numbers. We also...
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G. J. H. M. Buskes, A. C. M. Van Rooij (1992)
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