Results 121 to 130 of about 100,420 (296)
A generalization of spectral radius, numerical radius, and spectral norm
, 1987 Let Cn be the linear space of complex column vectors with n coordinates associated with the usual inner product. Denote by Λk the set of all k-tuples of orthonormal vectors in Cn. Given a real number p⩾ 1and an n × n complex matrix A with eigenvalues λ1,…
Li, Chi-Kwong
core +1 more source
The Upper Bounds of the Numerical Radius on Hilbert C*-Modules
AxiomsIn this paper, we give the generalized Cauchy–Schwarz inequality and an extension of Buzano inequality on quasi-Hilbert C*-modules. Additionally, the upper bounds of the numerical radius of bounded adjointable operators on Hilbert C*-modules are improved.
Jing Liu, Deyu Wu, Alatancang Chen
doaj +1 more source
Robust Spot Melting by 3D Spot Arrangements in Electron Beam Powder Bed Fusion
Advanced Engineering Materials, EarlyView.This work proposes an approach to replace separately melted contours for spot melting in electron beam powder fusion. Adapting the spot arrangements close to the contour combined with stacking yields a comparable surface quality without the inherent challenges of separate contours, as demonstrated, by electron optical images and roughness measurements.
Tobias Kupfer +4 more
wiley +1 more source
A note on numerical radius attaining mappings
, 2022 We prove that if every bounded linear operator (or $N$-homogeneous polynomials) with the compact approximation property attains its numerical radius, then $X$ is a finite dimensional space.
Jung, Mingu
core
Hölder-Type Inequalities for Power Series of Operators in Hilbert Spaces
AxiomsConsider the power series with complex coefficients h(z)=∑k=0∞akzk and its modified version ha(z)=∑k=0∞|ak|zk. In this article, we explore the application of certain Hölder-type inequalities for deriving various inequalities for operators acting on the ...
Najla Altwaijry +2 more
doaj +1 more source
Calibration of Numerical Simulation Methods for Underwater Explosion with Centrifugal Tests
Shock and Vibration, 2019 The centrifugal underwater explosion tests and corresponding numerical simulations were carried out to study the laws of shock wave and bubble pulsation. A semiempirical method to determine JWL state equation parameters was given.
Qiusheng Wang, Shicong Liu, Haoran Lou
doaj +1 more source
Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces
, 2006 Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core
Hilbert–Schmidt-Type Radii of Operator Pairs
Journal of Function SpacesLet C2H be the Hilbert–Schmidt class on a complex separable Hilbert space H. In light of the recent definition of the weighted numerical radius and motivated by the definition of the Hilbert–Schmidt numerical radius of a pair of operators, we introduce ...
Bashar Mayyas, Mohammad Sababheh
doaj +1 more source