Results 1 to 10 of about 3,693 (146)
F-Products and Nonstandard Hulls for Strongly Continuous One-parameter Semigroups of Linear Operators [PDF]
Mathematical Logic Quarterly, 2004 We give an overview of the F-product construction and the corresponding nonstandard constructions for strongly continuous one-parameter semigroups of linear operators, and show that (in the case of bounded ultrapowers) both constructs are isomorphic ...
Kellner, Jakob, Ploss, Hans
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Nonstandard Hulls of C*-Algebras and Their Applications [PDF]
Mathematics, 2021 For the sake of providing insight into the use of nonstandard techniques à la A. Robinson and into Luxemburg’s nonstandard hull construction, we first present nonstandard proofs of some known results about C*-algebras. Then we introduce extensions of the
Stefano Baratella
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Nonstandard Hulls of Locally Exponential Lie Algebras
Journal of Logic and Analysis, 2008 We show how to construct the nonstandard hull of certain infinite-dimensional Lie algebras in order to generalize a theorem of Pestov on the enlargeability of Banach-Lie algebras.
Goldbring, Isaac
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Numerical and Experimental Study of Flow Field between the Main Hull and Demi-Hull of a Trimaran
Journal of Marine Science and Engineering, 2020 The interactions between the main hull and demi-hull of trimarans have been arousing increasing attention, and detailed circumferential flow fields greatly influence trimaran research.
Cong Sun +4 more
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Nonstandard hulls of ordered vector spaces [PDF]
Positivity, 2015 The authors extend the technique of nonstandard hulls from vector lattices to ordered vector spaces. They introduce some external subspaces that generalize the subspaces of order-finite and order-infinitesimal elements and apply these concepts to studying the properties of nonstandard hulls, order convergence, Dedekind completion, etc.
Emelyanov, Eduard, Gül, Hasan
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Metric completions, the Heine-Borel property, and approachability
Open Mathematics, 2020 We show that the metric universal cover of a plane with a puncture yields an example of a nonstandard hull properly containing the metric completion of a metric space.
Kanovei Vladimir +2 more
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Phase Operator Problem and Macroscopic Extension of Quantum Mechanics [PDF]
, 1997 To find the Hermitian phase operatorof a single-mode electromagnetic field in quantum mechanics, the Schroedinger representation is extended to a larger Hilbert space augmented by states with infinite excitation by nonstandard analysis.
Abe +38 more
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The notion of process in nonstandard theory and in Whiteheadian metaphysics
Manuscrito, 2013 In this article I intend to show that certain aspects of A.N. Whitehead's philosophy of organism and especially his epochal theory of time, as mainly exposed in his well-known work Process and Reality, can serve in clarify the underlying assumptions that
Stathis Livadas
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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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