Results 101 to 110 of about 4,977,477 (349)
Compressed Sensing in Hilbert Spaces [PDF]
In many linear inverse problems, we want to estimate an unknown vector belonging to a high-dimensional (or infinite-dimensional) space from few linear measurements. To overcome the ill-posed nature of such problems, we use a low-dimension assumption on the unknown vector: it belongs to a low-dimensional model set. The question of whether it is possible
Traonmilin, Yann+3 more
openaire +5 more sources
Dilations for Systems of Imprimitivity acting on Banach Spaces
Motivated by a general dilation theory for operator-valued measures, framings and bounded linear maps on operator algebras, we consider the dilation theory of the above objects with special structures.
Han, Deguang+3 more
core +1 more source
Statistical Link Between Bell Nonlocality and Uncertainty Relations in Quantum Mechanics
Bell nonlocality and uncertainty principle are two distinguished features in quantum mechanics from classical physics. In this work, it is showed the interplay between these two quantum properties. The upper bound of nonlocal correlation strength is determined by accumulation of all local measurement uncertainty, which means that more Bell nonlocality ...
Li‐Yi Hsu
wiley +1 more source
Holonomy Spin Foam Models: Boundary Hilbert spaces and Time Evolution Operators
In this and the companion paper a novel holonomy formulation of so called Spin Foam models of lattice gauge gravity are explored. After giving a natural basis for the space of simplicity constraints we define a universal boundary Hilbert space, on which ...
Dittrich, Bianca+2 more
core +1 more source
Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians
We investigate the Hartley-Hilbert and Fourier-Hilbert transforms on a quotient space of Boehmians. The investigated transforms are well-defined and linear mappings in the space of Boehmians. Further properties are also obtained.
S. K. Q. Al-Omari
doaj +1 more source
Supersymmetric Hilbert space. [PDF]
A generalization is given of the notion of a symmetric bilinear form over a vector space, which includes variables of positive and negative signature ("supersymmetric variables"). It is shown that this structure is substantially isomorphic to the exterior algebra of a vector space.
Gian-Carlo Rota, Joel A. Stein
openaire +2 more sources
Measurement and self-adjoint operators [PDF]
The approximations of classical mechanics resulting from quantum mechanics are richer than a correspondence of classical dynamical variables with self-adjoint Hilbert space operators.
Johnson, Glenn Eric
core
The frozen natural orbitals (FNO)‐based CCSDT is a cost‐effective approach and provides significant computational speed‐up with rather insignificant errors (standard deviation ∼0.9$\sim 0.9$ millihartrees) – smaller than the CCSDT accuracy limit of ∼1.5$\sim 1.5$ millihartrees.
Manisha, Prashant Uday Manohar
wiley +1 more source
Riesz-like bases in rigged Hilbert spaces
The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged Hilbert space $\D[t] \subset \H \subset \D^\times[t^\times]$. A Riesz-like basis, in particular, is obtained by considering a sequence $\{\xi_n\}\subset \D$
Bellomonte, Giorgia, Trapani, Camillo
core +1 more source
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi+3 more
wiley +1 more source