Results 71 to 80 of about 768,175 (328)

Approximate numerical radius orthogonality

, 2020
We introduce the notion of approximate numerical radius (Birkhoff) orthogonality and investigate its significant properties. Let $T, S\in \mathbb{B}(\mathscr{H})$ and $\varepsilon \in [0, 1)$. We say that $T$ is approximate numerical radius orthogonal to $S$ and we write $T\perp^{\varepsilon}_ S$ if $$ ^2(T+ S)\geq ^2(T)-2\varepsilon (T) ( S)
Amyari, Maryam, Khibary, Marzieh Moradian   +1 more
openaire   +2 more sources

Numerical Radius Inequalities Concerning with Algebra Norms

Mediterranean Journal of Mathematics, 2021
We give an expression for a generalized numerical radius of Hilbert space operators and then apply it to obtain upper and lower bounds for the generalized numerical radius. We also establish some generalized numerical radius inequalities involving the product of two operators. Applications of our inequalities are also provided.
Ali Zamani, Mohammad Sal Moslehian, Qingxiang Xu, Chunhong Fu   +3 more
openaire   +3 more sources

Refractory Status Epilepticus Treated With Bilateral Pulvinar Deep Brain Stimulation—A Case Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT New‐onset refractory status epilepticus (NORSE) arises without an identifiable cause or prior epilepsy history, with a 16%–27% mortality rate and significant long‐term neurological sequelae. Neuromodulation such as deep brain stimulation (DBS) targeting the anterior and centromedian thalamic nuclei has shown promise when the traditional ...
Mengxuan Tang, Amerta Bai, Felipe Rodridgues Marques Ferreira, Sandipan Pati, Thaddeus Walczak, Benjamin Miller, Oladi Bentho, Thomas Henry, Ilo Leppik, Minoo Shams, Zhiyi Sha, Zachary Sanger, Theoden I. Netoff, Thomas Lisko, Anant Naik, Robert McGovern III, Sima Patel   +16 more
wiley   +1 more source

Some new inequalities on the improvement of numerical radius bounds

Journal of Inequalities and Applications
This article presents an investigation to improve the numerical radius bounds for bounded linear operators on a complex Hilbert space through the application of Young’s inequality.
Elkhateeb S. Aly, Tabassum Bilal, Javariya Hyder, Ali M. Mahnashi, S. Bourazza, Muhammad Saeed Akram   +5 more
doaj   +1 more source

Minimum Radii of Super-Earths: Constraints from Giant Impacts

, 2010
The detailed interior structure models of super-Earth planets show that there is degeneracy in the possible bulk compositions of a super-Earth at a given mass and radius, determined via radial velocity and transit measurements, respectively. In addition,
Adams, Agnor, Borucki, Fortney, Grasset, Ida, Marcus, Masset, Melnick, Petaev, Sasselov, Stewart, Valencia   +12 more
core   +1 more source

The decomposable numerical radius and numerical radius of a compound matrix

Linear Algebra and its Applications, 1986
Given an \(n\times n\) complex matrix A with singular values \(\alpha_ 1\geq \alpha_ 2\geq...\geq \alpha_ n\) and eigenvalues \(\lambda_ 1,\lambda_ 2,...,\lambda_ n\), where \(| \lambda_ 1| \geq | \lambda_ 2| \geq...\geq | \lambda_ n|\), denote by \(C_ m(A)\) the m-th compound of A(1\(\leq m\leq n)\) and by \(r_ d(C_ m(A))\) and \(r(C_ m(A))\) the ...
openaire   +1 more source

Numerical Radius Inequalities for Hilbert Space Operators [PDF]

Complex Analysis and Operator Theory, 2021
In this work, an improvement of H lder-McCarty inequality is established. Based on that, several refinements of the generalized mixed Schwarz inequality are obtained. Consequently, some new numerical radius inequalities are proved. New inequalities for numerical radius of $n\times n$ matrix of Hilbert space operators are proved as well.
openaire   +3 more sources

Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron, Nicholas E. Clifton, Daniel Cabezas de la Fuente, Peter Holmans, Nicholas J. Bray, Kathryn J. Peall   +5 more
wiley   +1 more source

Study on prediction of blasting cracking radius of liquid CO2 in coal.

PLoS ONE, 2023
In this study, we sought to improve the efficiency of coal seam gas extraction, master the characteristics of different factors on the liquid carbon dioxide (CO2) phase change blasting cracking radius, and effectively predict the hole spacing.
Jinzhang Jia, Yumo Wu, Dan Zhao, Bin Li, Dongming Wang   +4 more
doaj   +1 more source

Ways to constrain neutron star equation of state models using relativistic disc lines

, 2011
Relativistic spectral lines from the accretion disc of a neutron star low-mass X-ray binary can be modelled to infer the disc inner edge radius. A small value of this radius tentatively implies that the disc terminates either at the neutron star hard ...
Akmal, Baldo, Bardeen, Beckwith, Bejger, Berti, Berti, Bhattacharyya, Bhattacharyya, Bhattacharyya, Bhattacharyya, Bhattacharyya, Bhattacharyya, Bhattacharyya, Brenneman, Cackett, Cackett, Cackett, Cook, Datta, di, Dovčiak, D’Aí, D’Aí, Iaria, Kluźniak, Laor, Lattimer, Manko, Manko, Miller, Miller, Pachon, Pandel, Pandharipande, Papitto, Reis, Reynolds, Sahu, Sanabria-Gómez, Shapiro, Shibata, Stergioulas, Sudip Bhattacharyya, Thampan, Thampan   +45 more
core   +1 more source