Results 41 to 50 of about 2,288,250 (268)
Matricial Radius: A Relation of Numerical radius with Matricial Range
It has been shown that if $T$ is a complex matrix, then {\small\begin{align*} ω(T)&=\frac{1}{n}\sup\left\{|\mathrm{Tr}\ X|;\ X\in W^n(T)\right\}\\ &=\frac{1}{n}\sup\left\{\|X\|_1;\ X\in W^n(T)\right\}\\ &= \sup\left\{ ω(X);\ X\in W^n(T)\right\} \end{align*} } where $n$ is a positive integer, $ω(T)$ is the numerical radius and $W^n(T)$ is ...
Dehghani, Mahdi +2 more
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Numerical radius in Hilbert C✻-modules [PDF]
Utilizing the linking algebra of a Hilbert $C^*$-module $\big(\mathscr{V}, {\|\!\cdot\!\|}\big)$, we introduce $Ω(x)$ as a definition of numerical radius for an element $x\in\mathscr{V}$ and then show that $Ω(\cdot)$ is a norm on $\mathscr{V}$ such that $\frac{1}{2}{\|x\|} \leq Ω(x) \leq {\|x\|}$. In addition, we obtain an equivalent condition for $Ω(x)
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On inequalities for A-numerical radius of operators
Let $A$ be a positive operator on a complex Hilbert space $\mathcal{H}.$ We present inequalities concerning upper and lower bounds for $A$-numerical radius of operators, which improve on and generalize the existing ones, studied recently in [A. Zamani, A-Numerical radius inequalities for semi-Hilbertian space operators, Linear Algebra Appl.
Bhunia, Pintu +2 more
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ABSTRACT Introduction This study investigated the safety and efficacy of single‐needle Rheocarna therapy for chronic limb‐threatening ischemia (CLTI) with wounds. Methods Six patients with CLTI involving ulcers unresponsive to revascularization underwent single‐needle Rheocarna treatment.
Yasutaka Yamauchi +9 more
wiley +1 more source
New Bounds for the Davis–Wielandt Radius via the Moore–Penrose Inverse of Bounded Linear Operators
In this paper, we obtain some new upper bounds involving powers of the Davis–Wielandt radius of bounded linear operators with closed ranges by using the Moore–Penrose inverse.
Xiaomei Dong, Yuzhen Guo, Deyu Wu
doaj +1 more source
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
This paper presents and discusses the stability of a discrete multirate sampling system whose sets of sampling rates (or sampling periods) are the integer multiple of those operating on all the preceding substates.
M. De la Sen
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Compared with straight tunnels, small-radius curved tunnels are more common and have more complex influencing factors in urban underground traffic. Therefore, the seismic evaluation of small-radius curved tunnels is of great significance for the safe ...
Xiaojiu Feng +3 more
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Minimal Projections with Respect to Numerical Radius [PDF]
15 ...
Aksoy, Asuman Güven, Lewicki, Grzegorz
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Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source

