Results 191 to 200 of about 64,232 (230)

Tensor products of Hilbert space effect algebras

Reports on Mathematical Physics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

From Product Hilbert Spaces to the Generalized Koopman Operator and the Nonlinear Fundamental Lemma

arXiv.org
The generalization of the Koopman operator to systems with control input and the derivation of a nonlinear fundamental lemma are two open problems that play a key role in the development of data-driven control methods for nonlinear systems. Both problems
Mircea Lazar
semanticscholar   +1 more source

Gleason measures on infinite tensor products of Hilbert spaces

Journal of Mathematical Physics, 1977
Nowak [Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 22, 393–5 (1974)] has given an example of a consistent (in the sense of Kolmogorov) family of Gleason measures [A. M. Gleason, J. Math. Mech. 6, 885–94 (1957)] {mn} defined over ⊗ni=1Hi which do not extend to a Gleason measure on ⊙∞i=1 ΦHi for a given construction of the infinite tensor product.
openaire   +1 more source

Regular Functions of Operators on Tensor Products of Hilbert Spaces

Integral Equations and Operator Theory, 2005
A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the
openaire   +1 more source

Phase space methods in a continuous tensor product of Hilbert spaces

AIP Conference Proceedings, 2006
A continuum of coupled oscillators is considered, described by a continuous tensor product of Hilbert spaces. The mode position Ux and the mode momentum Up are operators which act collectively on all oscillators. They obey equations of motion which are very similar to those of a harmonic oscillator.
openaire   +1 more source

Multi- and Infinite-variate Integration and L2-Approximation on Hilbert Spaces with Gaussian Kernels

Mathematics of Computation
We study integration and $L^2$-approximation in the worst-case setting for deterministic linear algorithms based on function evaluations. The underlying function space is a reproducing kernel Hilbert space with a Gaussian kernel of tensor product form ...
M. Gnewuch, Klaus Ritter, R. Rüßmann
semanticscholar   +1 more source

Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry

arXiv.org
The radiative transfer equation (RTE) has been established as a fundamental tool for the description of energy transport, absorption and scattering in many relevant societal applications, and requires numerical approximations.
M. Bachmayr, Riccardo Bardin, Matthias Schlottbom   +2 more
semanticscholar   +1 more source

Observables and States in Tensor Products of Hilbert Spaces

1992
Suppose (Ω i , F i ), 1 ≤ i ≤ n are sample spaces describing the elementary outcomes and events concerning n different statistical systems in classical probability. To integrate them into a unified picture under the umbrella of a single sample space one takes their cartesian product (Ω, F) where Ω = Ω1 x … x Ω n , F = F1 x … x F n , the smallest σ ...
openaire   +1 more source

Estimates for norms of resolvents of~operators on tensor products of Hilbert spaces

Periodica Mathematica Hungarica, 2004
Let \(H= E_{1}\otimes E_{2}\) be the tensor product of the Hilbert spaces \(E_{1}\), \(E_{2}\) and let \(M_{1}\), \(M_{2}\) be operators acting on \(E_{1}\), \(E_{2}\), respectively. Under the conditions that the domains of \(M_{j}\) and \(M_{j}^\ast\) coincide and that the difference \(M_{j} -M_{j}^\ast \in \tilde{C}_{2p_{j}}\) for some Neumann ...
openaire   +2 more sources

Essential self-adjointness of operators in an infinite tensor product of Hilbert spaces

Ukrainian Mathematical Journal, 1989
From the authors introduction: A criterion of essential self-adjointness of a series of nonnegative operators in an infinite tensor product of Hilbert spaces, in terms of weak convergence, is established.
openaire   +2 more sources