Riesz spaces and the ultrafilter theorem, I
G. J. H. M. Buskes, A. C. M. Van Rooij (1992)
Compositio Mathematica
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Displaying similar documents to “A simple proof of a result of Abramovich and Wickstead”
Riesz spaces and the ultrafilter theorem, I
A note on Riesz spaces with property-
Ş. Alpay, B. Altin, C. Tonyali (2006)
Czechoslovak Mathematical Journal
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We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.
Remark On Fatou-Riesz's Theorem
Vojislav G. Avakumović (1955)
Publications de l'Institut Mathématique
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Representations of Riesz spaces as spaces of measures. I
Wolfgang Filter (1992)
Czechoslovak Mathematical Journal
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On strong Riesz sets
Robert E. Dressler, Louis Pigno (1974)
Colloquium Mathematicae
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F. Riesz Theorem
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...
Banach spaces which embed into their dual
Valerio Capraro, Stefano Rossi (2011)
Colloquium Mathematicae
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We use Birkhoff-James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.