Results 11 to 20 of about 3,701 (139)
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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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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Nonstandard hulls of lattice-normed ordered vector spaces
TURKISH JOURNAL OF MATHEMATICS, 2018 Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space \cite{E8}, we describe and investigate nonstandard hull of a lattice-normed space, which is ...
Aydin, A., Gorokhova S., Gül H.
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A Transcriptional Map of Human Tonsil Architecture: Beyond the Sum of (Single Cell) Parts. [PDF]
Eur J ImmunolPicture‐book compartmentalization makes tonsillar tissue an ideal model to study spatial immunology. Using single‐molecule imaging (SMI) of whole‐tissue sections, we showcase many an alternative view on tissue composition and architecture that these data and concomitant analyses provide—at the level of single cells, cellular neighborhoods, and ...
Crowell HL +11 more
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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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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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