Results 21 to 30 of about 3,693 (146)

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.
openaire   +4 more sources

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.
openaire   +2 more sources

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
openaire   +2 more sources

An approach to nonstandard quantum mechanics

, 2006
We use nonstandard analysis to formulate quantum mechanics in hyperfinite-dimensional spaces. Self-adjoint operators on hyperfinite-dimensional spaces have complete eigensets, and bound states and continuum states of a Hamiltonian can thus be treated on ...
A. Raab, Bernstein A. R., Bernstein A. R.   +2 more
core   +1 more source

Hyperfinite-dimensional subspaces of the nonstandard hull of 𝑐₀ [PDF]

Proceedings of the American Mathematical Society, 1980
Let c ^ 0 {\hat c_0} be the nonstandard hull of the Banach space c 0 {c_0} formed with respect to an ℵ 1 {\aleph _1} -saturated extension.
openaire   +1 more source

Leadership Skills in Corporate Director Biographies: Substance or Impression Management?

Corporate Governance: An International Review, Volume 34, Issue 1, Page 41-70, January 2026.
ABSTRACT Research Issue How objective are corporations' disclosures of their board members' skills? Specifically, how changeable are characterizations of directors as possessing leadership skill in reaction to external pressure? Research Insights We mail letters to a quasi‐randomly selected half of publicly listed US companies, inquiring whether they ...
Emilia Bunea, Maxim Elias, David Stolin
wiley   +1 more source

Dynamic programming in economics on a quantum annealer

Quantitative Economics, Volume 17, Issue 1, Page 1-37, January 2026.
We introduce novel algorithms for solving dynamic programming problems in economics on a quantum annealer, a specialized quantum computer used for combinatorial optimization. Quantum annealers begin in a superposition of all states and generate candidate global solutions in milliseconds, regardless of problem size.
Jesús Fernández‐Villaverde, Isaiah Hull   +1 more
wiley   +1 more source

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +1 more source

Compactness of powers of \omega

, 2013
We characterize exactly the compactness properties of the product of \kappa\ copies of the space \omega\ with the discrete topology. The characterization involves uniform ultrafilters, infinitary languages, and the existence of nonstandard elements in ...
Lipparini, Paolo
core   +1 more source

Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
wiley   +1 more source