Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces [PDF]
, 2005 Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions are ...
Sever S. Dragomir, Dragomir, Sever S
core +1 more source
Quantization of Polaritons Confined in Dielectric Structures
Laser &Photonics Reviews, EarlyView.This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani +4 more
wiley +1 more source
Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions
Journal of High Energy PhysicsIn this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
doaj +1 more source
Journal of Function Spaces, 2018 We are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous.
Huanhuan Cui, Luchuan Ceng, Fenghui Wang
doaj +1 more source
Controlled Continuous g-Frames in Hilbert C*-Modules
Moroccan Journal of Pure and Applied Analysis, 2020 Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert C*-modules. The purpose of this paper is the introduction and the study of the concept of Controlled Continuous g-Frames in Hilbert C ...
Kabbaj S., Labrigui H., Touri A.
doaj +1 more source
An Online Projection Estimator for Nonparametric Regression in Reproducing Kernel Hilbert Spaces. [PDF]
Stat Sin, 2023 Zhang T, Simon N.
europepmc +1 more source
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
Geometric fluctuation of conformal Hilbert spaces and multiple graviton modes in fractional quantum Hall effect. [PDF]
Nat Commun, 2023 Yuzhu W, Bo Y.
europepmc +1 more source
Predicting Statistical Signatures of Collective Emission in Disordered Color Center Ensembles
Laser &Photonics Reviews, EarlyView.We present an efficient simulation framework for modeling collective emission in disordered ensembles of quantum emitters. The low computational complexity enables large‐scale Monte Carlo simulations. Applied to SiV−${\rm SiV}^{-}$ clusters, it predicts thresholded superradiant bursts set by emitter number and quantum efficiency, as well as interaction‐
Qingyi Zhou +4 more
wiley +1 more source
Adaptive Supervised Learning on Data Streams in Reproducing Kernel Hilbert Spaces with Data Sparsity Constraint. [PDF]
Stat, 2023 Wang H, Li Q, Liu Y.
europepmc +1 more source