Results 91 to 100 of about 770,616 (284)
Vector-valued numerical radius and σ-porosity
Journal of Mathematical Analysis and Applications, 2023 It is well known that under certain conditions on a Banach space $X$, the set of bounded linear operators attaining their numerical radius is a dense subset. We prove in this paper that if $X$ is assumed to be uniformly convex and uniformly smooth then the set of bounded linear operators attaining their numerical radius is not only a dense subset but ...
openaire +2 more sources
Thermoreflectance Detection of Point Defects Resulting from Focused Ion Beam Milling
Advanced Engineering Materials, EarlyView.Focused ion beam (FIB) milling is a common tool for nanoscale material processing, however irradiation damage, redeposition, and contamination can occur. We use several characterization tools to show FIB‐induced effects beyond 1 mm from the milled area.
Thomas W. Pfeifer +3 more
wiley +1 more source
New norm equalities and inequalities for operator matrices
Journal of Inequalities and Applications, 2016 We prove new inequalities for general 2 × 2 $2\times2$ operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also,
Feras Ali Bani-Ahmad, Watheq Bani-Domi
doaj +1 more source
Maps preserving spectral radius, numerical radius, spectral norm
The Electronic Journal of Linear Algebra, 2007 It was shown by \textit{S. Clark}, \textit{C.K. Li}, and \textit{A. Rastogi} [Bull. Aust. Math. Soc. 77, No.~1, 49--72 (2008; Zbl 1147.15001)] that under some restrictions every (possibly nonlinear) map \(f:M_{m\times n}\to M_{m\times n}\) on rectangular matrices, which is multiplicative with respect to Schur (= entrywise) product, is of the form \(f ...
Li, Chi-Kwong +2 more
openaire +2 more sources
Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Application of three-body stability to globular clusters: I. The stability radius
, 2014 The tidal radius is commonly determined analytically by equating the tidal field of the galaxy to the gravitational potential of the cluster. Stars crossing this radius can move from orbiting the cluster centre to independently orbiting the galaxy.
Kennedy, Gareth F.
core +1 more source
Advanced Engineering Materials, EarlyView.The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi +3 more
wiley +1 more source
On the numerical radius parallelism and the numerical radius Birkhoff orthogonality
In this paper, we generalize the notions of numerical radius parallelism and numerical radius Birkhoff orthogonality, originally formulated for operators on Hilbert spaces, to operators on normed spaces. We then proceed to demonstrate their fundamental properties.
Bi, Jiaye, Xie, Huayou, Li, Yongjin
openaire +2 more sources
Proceedings of the American Mathematical Society, 2014 Let T 1 , … , T n T_1,\dots ,T_n be bounded linear operators on a complex Hilbert space H H . We study the question whether it is possible to find a unit vector x ∈ H x\in H such that
openaire +3 more sources
Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials
Advanced Engineering Materials, EarlyView.Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai +2 more
wiley +1 more source