Results 41 to 50 of about 4,538,824 (321)
On Some Numerical Radius Inequalities Involving Generalized Aluthge Transform
Journal of Function Spaces, 2022 Let S be any bounded linear operator defined on a complex Hilbert space H. In this paper, we present some numerical radius inequalities involving the generalized Aluthge transform to attain upper bounds for numerical radius.
Javariya Hyder +3 more
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Diagrammatic Quantum Monte Carlo for Two-Body Problem: Exciton [PDF]
, 2001 We present a novel method for precise numerical solution of the irreducible two-body problem and apply it to excitons in solids. The approach is based on the Monte Carlo simulation of the two-body Green function specified by Feynman's diagrammatic ...
A. S. Mishchenko +23 more
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New estimates for the numerical radius
Filomat, 2021 In this article, we present new inequalities for the numerical radius of the sum of two Hilbert space operators. These new inequalities will enable us to obtain many generalizations and refinements of some well known inequalities, including multiplicative behavior of the numerical radius and norm bounds. Among many other applications, it is
Moradi, Hamid Reza, Sababheh, Mohammad
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Some refinements of numerical radius inequalities [PDF]
Ukrains’kyi Matematychnyi Zhurnal, 2020 UDC 517.5 In this paper, we give some refinements for the second inequality in where In particular, if is hyponormal by refining the Young inequality with the Kantorovich constant we show that where and . We also give a reverse for the classical numerical radius power inequality for any operator in the case when
Heydarbeygi, Z. +2 more
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Singularities in droplet pinching with vanishing viscosity [PDF]
, 1999 A slender-jet model for the pinching of a liquid column is considered in the limit of vanishing viscosity. We find the model to develop a singularity in the gradients of the local radius and the velocity at a finite thread radius, so it does not describe
Eggers, Jens
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Numerical Radius Inequalities Involving 2 × 2 Block Matrices
European Journal of Pure and Applied MathematicsIn this paper, we give several upper and lower bounds for the numerical radius of 2 ×2 block matrices. Several special cases of our results are given.
Ahmad Al natoor, Fadi Alrimawi
semanticscholar +1 more source
A note on convexity of sections of quaternionic numerical range
, 2018 The quaternionic numerical range of matrices over the ring of quaternions is not necessarily convex. We prove Toeplitz-Hausdorff like theorem, that is, for any given quaternionic matrix every section of its quaternionic numerical range is convex.
Kumar, P. Santhosh
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Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces
MathematicsThis paper presents new lower and upper bounds for the Euclidean numerical radius of operator pairs in Hilbert spaces, demonstrating improvements over recent results by other authors.
Najla Altwaijry +2 more
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A-numerical radius inequalities for semi-Hilbertian space operators [PDF]
Linear Algebra and its Applications, 2019 Let $A$ be a positive bounded operator on a Hilbert space $\big(\mathcal{H}, \langle \cdot, \cdot\rangle \big)$. The semi-inner product ${\langle x, y\rangle}_A := \langle Ax, y\rangle$, $x, y\in\mathcal{H}$ induces a semi-norm ${\|\cdot\|}_A$ on ...
A. Zamani
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Denseness of Numerical Radius Attaining Holomorphic Functions
Journal of Inequalities and Applications, 2009 We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space X is locally uniformly convex, then the set of all numerical ...
Han Ju Lee
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