Results 21 to 30 of about 100,077 (295)

Schur multiplier operator and matrix inequalities [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
In this note we obtain a reverse version of the Haagerup Theorem. In particular, if $ A \in \mathbb{M}_{n}$ has a $ 2\times2- $ principal submatrix as $ \left[ \begin{array}{cc}1& \alpha \\\beta & 1\\\end{array}\right]$ with $ \beta \neq \bar{\alpha ...
Alemeh Sheikhhosseini
doaj   +1 more source

Weighted Inequalities For The Numerical Radius [PDF]

open access: yesVietnam Journal of Mathematics, 2021
In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance of the obtained results is the way they generalize many existing results in the literature; where certain values of the weights imply some known results, or refinements of these results.
Shiva Sheybani   +2 more
openaire   +2 more sources

Betterment for estimates of the numerical radii of Hilbert space operators [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2023
We give several inequalities involving numerical radii $\omega \left( \cdot \right)$ and the usual operator norm $\|\cdot\|$ of Hilbert space operators. These inequalities lead to a considerable improvement in the well-known inequalities\begin{equation*}\
Mohammad Davarpanah, Hamid Moradi
doaj   +1 more source

An Estimate for the Numerical Radius of the Hilbert Space Operators and a Numerical Radius Inequality

open access: yesAIMS Mathematics, 2022
Abstract We give several sharp inequalities involving powers of the numerical radii and the usual operator norms of Hilbert space operators. These inequalities , which are based on some classical convexity inequalities for nonneg-ative real numbers and some operator inequalities, generalize earlier numerical radius inequalities.
M. H. M. Rashid, Feras Bani-Ahmad
openaire   +3 more sources

Some Generalized Euclidean Operator Radius Inequalities

open access: yesAxioms, 2022
In this work, some generalized Euclidean operator radius inequalities are established. Refinements of some well-known results are provided. Among others, some bounds in terms of the Cartesian decomposition of a given Hilbert space operator are proven.
Mohammad W. Alomari   +2 more
doaj   +1 more source

New estimates for the numerical radius

open access: yesFilomat, 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
openaire   +3 more sources

Numerical study of hybrid third order compact scheme for hyperbolic conservation laws

open access: yesEnergy Reports, 2020
In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes.
Indra Wibisono, Yanuar, E.A. Kosasih
doaj   +1 more source

Bounding the Zeros of Polynomials Using the Frobenius Companion Matrix Partitioned by the Cartesian Decomposition

open access: yesAlgorithms, 2022
In this work, some new inequalities for the numerical radius of block n-by-n matrices are presented. As an application, the bounding of zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition method is proved.
Mohammad W. Alomari, Christophe Chesneau
doaj   +1 more source

Numerical radius orthogonality in $$C^*$$-algebras [PDF]

open access: yesAnnals of Functional Analysis, 2020
In this paper we characterize the Birkhoff--James orthogonality with respect to the numerical radius norm $v(\cdot)$ in $C^*$-algebras. More precisely, for two elements $a, b$ in a $C^*$-algebra $\mathfrak{A}$, we show that $a\perp_{B}^{v} b$ if and only if for each $θ\in [0, 2π)$, there exists a state $φ_{_θ}$ on $\mathfrak{A}$ such that $|φ_{_θ}(a)| =
Zamani, Ali, Wójcik, Paweł
openaire   +2 more sources

Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices

open access: yesCommunications in Advanced Mathematical Sciences, 2022
In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of
Elif Otkun Çevik
doaj   +1 more source

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