Results 21 to 30 of about 1,937 (197)
The C*-algebra of a Hilbert Bimodule
, 1997 We regard a right Hilbert C*-module X over a C*-algebra A endowed with an isometric *-homomorphism ϕ: A\to L_A(X) as an object X_A of the C*-category of right Hilbert A-modules. Following a construction by the first author and Roberts, we associate to it a C*-algebra O_{X_A} containing X as a ``Hilbert A-bimodule in O_{X_A}''.
DOPLICHER S +2 more
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On frontal operators in Hilbert algebras
Logic Journal of IGPL, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José L. Castiglioni +1 more
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Hilbert norms for graded algebras [PDF]
Proceedings of the American Mathematical Society, 1999 This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinite-dimensional superalgebras included) with respect to which the multiplication is continuous.
Kupsch, Joachim, Smolyanov, Oleg G.
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A symmetry algebra in double-scaled SYK
SciPost Physics, 2023 The double-scaled limit of the Sachdev-Ye-Kitaev (SYK) model takes the number of fermions and their interaction number to infinity in a coordinated way.
Henry W. Lin, Douglas Stanford
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Dualities for Bounded Prelinear Hilbert Algebras
Logic Journal of the IGPL, 2021 Abstract This paper deals about dualities for bounded prelinear Hilbert algebras. In particular, we give an Esakia-style duality between the algebraic category of bounded prelinear Hilbert algebras and a category of H-spaces whose morphisms are certain continuous p-morphisms.
Hernán Javier San Martín +1 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
wiley +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
On Pre-Hilbert and Positive Implicative Pre-Hilbert Algebras
Bulletin of the Section of LogicIn the paper, pre-Hilbert algebras are defined as a generalization of Hilbert algebras (namely, a Hilbert algebra is just a pre-Hilbert algebra satisfying the property of antisymmetry).
Andrzej Walendziak
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C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type
International Journal of Mathematics and Mathematical Sciences, 2014 A Hilbert C∗-quad module of finite type has a multistructure of Hilbert C∗-bimodules with two finite bases. We will construct a C∗-algebra from a Hilbert C∗-quad module of finite type and prove its universality subject to certain relations among ...
Kengo Matsumoto
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Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source