A moment theory approach to the Riesz theorem on the conjugate function with general measures
Mischa Cotlar, Cora Sadowsky (1975)
Studia Mathematica
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Mischa Cotlar, Cora Sadowsky (1975)
Studia Mathematica
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Axel Klodt (1982)
Mathematische Zeitschrift
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Keiko Narita, Kazuhisa Nakasho, Yasunari Shidama (2017)
Formalized Mathematics
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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...
Robert E. Dressler, Louis Pigno (1974)
Colloquium Mathematicae
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Vojislav G. Avakumović (1955)
Publications de l'Institut Mathématique
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Vojislav G. Avakumović (1955)
Publications de l'Institut Mathématique
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G. J. H. M. Buskes, A. C. M. Van Rooij (1992)
Compositio Mathematica
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Tomica Divnić, Zlata Đurić (2000)
Kragujevac Journal of Mathematics
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Shimshon Zimering (1961)
Publications de l'Institut Mathématique
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W. Aziz, J. Guerrero, N. Merentes (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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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.
J. V. Ramani, Anil Kumar Karn, Sunil Yadav (2006)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, the -Riesz norm for ordered -bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this notion, -Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces.
C. D. Aliprantis, O. Burkinshaw (1982)
Colloquium Mathematicae
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