Results 101 to 110 of about 4,538,824 (321)
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 ...
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Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
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On the Bishop-Phelps-Bollobás Property for Numerical Radius
Abstract and Applied Analysis, 2014 We study the Bishop-Phelps-Bollobás property for numerical radius (in short, BPBp-nu) and find sufficient conditions for Banach spaces to ensure the BPBp-nu. Among other results, we show that L1μ-spaces have this property for every measure μ.
Sun Kwang Kim +2 more
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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
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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
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Some norm inequalities for accretive Hilbert space operators
CuboNew norm inequalities for accretive operators on Hilbert space are given. Among other inequalities, we prove that if \(A, B \in \mathbb{B(H)}\) and \(B\) is self-adjoint and also \(C_{m,M}(iAB)\) is accretive, then \begin{eqnarray*} \frac{4 \sqrt ...
Baharak Moosavi, Mohsen Shah Hosseini
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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
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Advanced Engineering Materials, EarlyView.This article demonstrates the successful qualification of a copper–tungsten composite for laser powder bed fusion. The resulting components exhibited high density, high thermal conductivity, and reduced thermal expansion. Heat sinks with complex geometries were successfully manufactured, clearly showcasing the material's potential for additive ...
Simon Rauh +6 more
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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
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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
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