Results 111 to 120 of about 768,175 (328)
NEW NORM INEQUALITIES FOR COMMUTATORS OF HILBERT SPACE OPERATORS
Проблемы анализаNew norm inequalities for commutators of Hilbert space operators are given. Among other inequalities, it is shown that if $A, B \in \mathbb{B}(\mathbb{H})$ and there exists a real number $z_0$, such that $||A-z_0I|| = D_A$, then \[ ||AB \pm BA ...
B. Moosavi, M. Shah Hosseini
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Strengthening of spectral radius, numerical radius, and Berezin radius inequalities
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasSuppose $\mathcal{H}_1, \mathcal{H}_2, \ldots, \mathcal{H}_n$ are arbitrary complex Hilbert spaces, and ${\bf A}=[A_{ij}]$ is an $n\times n$ operator matrix with $A_{ij}\in \mathcal{B}(\mathcal{H}_j, \mathcal{H}_i).$ We show that $w({\bf A}) \leq w\left(\begin{bmatrix} a_{ij} \end{bmatrix}_{i,j=1}^n \right),$ where $w(\cdot)$ denotes the numerical ...
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Advanced Engineering Materials, EarlyView.Bimetallic (NiFe) and trimetallic (NiFeCr) nanoalloys (NAs) are synthesized using corresponding oxide mixtures using microwave hydrogen plasma within a few milliseconds. The process simultaneously 1) reduces metal oxides to metals; 2) downsizes the particles from micrometers to nanometers; and 3) blends the metals to form NAs.
Sachin Kumar +5 more
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On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces [PDF]
, 2012 Antonio Avilés +2 more
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Cartesian decomposition and numerical radius inequalities
Linear Algebra and its Applications, 2015 8 pages, appeared in Linear Algebra ...
Kittaneh, Fuad +2 more
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Advanced Engineering Materials, EarlyView.The work demonstrates that strategic wall‐thickness grading in diamond triply periodic minimal surface lattices enables precise tuning of deformation and failure behavior under compression. Different gradation patterns guide how and where the structure collapses, improving energy absorption or promoting controlled brittle failure.
Giovanni Rizza +3 more
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Numerical Radius Perserving Operators on B(H) [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: Let \(H\) be a Hilbert space over \(\mathbb{C}\) and let \(B(H)\) denote the vector space of all bounded linear operators on \(H\). We prove that a linear isomorphism \(T: B(H)\to B(H)\) is numerical radius-preserving if and only if it is a multiply of a \(C^*\)-isomorphism by a scalar of modulus one.
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Advanced Functional Materials, EarlyView.This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous
Mingfeng Xu +5 more
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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
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Numerical Investigation on the Benefits of Preheating for an Increased Thermal Radius of Influence During Steam Injection in Saturated Soil [PDF]
, 2016 Kilian Weishaupt +3 more
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