Results 21 to 30 of about 3,701 (139)
Leibnizian, Robinsonian, and Boolean Valued Monads [PDF]
, 2011 This is an overview of the present-day versions of monadology with some applications to vector lattices and linear inequalities.Comment: This is a talk prepared for the 20th St.
A. E. Gutman +14 more
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Hyperfinite-Dimensional Representations of Canonical Commutation Relation [PDF]
, 1997 This paper presents some methods of representing canonical commutation relations in terms of hyperfinite-dimensional matrices, which are constructed by nonstandard analysis.
Hideyasu Yamashita, Hinokuma T.
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Subspaces of the Nonstandard Hull of a Normed Space [PDF]
Transactions of the American Mathematical Society, 1974 Normed spaces which are isomorphic to subspaces of the nonstandard hull of a given normed space are characterized. As a consequence it is shown that a normed space is B-convex if and only if the nonstandard hull contains no subspace isomorphic to l 1 {l_1} and a Banach space is super-reflexive if ...
Henson, C. Ward, Moore, L. C. jun.
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CONSTRUCTING NONSTANDARD HULLS AND LOEB MEASURES IN INTERNAL SET THEORIES
The Bulletin of Symbolic Logic, 2022 AbstractCurrently the two popular ways to practice Robinson’s nonstandard analysis are the model-theoretic approach and the axiomatic/syntactic approach. It is sometimes claimed that the internal axiomatic approach is unable to handle constructions relying on external sets.
KAREL HRBACEK, MIKHAIL G. KATZ
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Nonstandard hulls of locally uniform groups [PDF]
Fundamenta Mathematicae, 2013 We present a nonstandard hull construction for locally uniform groups in a spirit similar to Luxembourg's construction of the nonstandard hull of a uniform space. Our nonstandard hull is a local group rather than a global group. We investigate how this construction varies as one changes the family of pseudometrics used to construct the hull. We use the
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Reduced Coproducts of Compact Hausdorff Spaces [PDF]
, 1987 By analyzing how one obtains the Stone space of the reduced product of an indexed collection of Boolean algebras from the Stone spaces of those algebras, we derive a topological construction, the reduced coproduct , which makes sense for indexed ...
Bankston +17 more
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Nonstandard Hulls of C*-Algebras
, 2009 22 ...
Baratella, Stefano, Ng, Siu-Ah
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Is there club convergence in Latin America? [PDF]
, 2016 Previous studies of the income convergence hypothesis for Latin American economies indicate that almost all are not systematically closing their income gap with developed nations.
King, Alan, Ramlogan-Dobson, Carlyn
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Preservation of properties in nonstandard hulls of $C^*$--algebras [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 We extend the nonstandard hull construction of Luxemburg and we show that the proposed extension covers various other constructions such as the tracial and the weak nonstandard hull. We provide a novel proof that the tracial nonstandard hull of an internal von Neumann algebra is itself a von Neumann algebra.
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Examples of new nonstandard hulls of topological vector spaces [PDF]
Proceedings of the American Mathematical Society, 2018 The authors introduce several nonstandard hulls for topological vector spaces. These are defined using convex subrings of \({}^*\mathbb{R}\). If \(\mathbb{F}\) is such a subring and \(E\) is a topological vector space then \(p\in{}^*E\) is \(\mathbb{F}\)-bounded if for every neighbourhood \(U\) of \(0\) in \(E\) there is \(r\in\mathbb{B}\) outside the ...
Kosarew, Siegmund, Khalfallah, Adel
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