Results 1 to 10 of about 2,288,250 (268)

Further Accurate Numerical Radius Inequalities

Axioms, 2023
The goal of this study is to refine some numerical radius inequalities in a novel way. The new improvements and refinements purify some famous inequalities pertaining to Hilbert space operators numerical radii.
Tariq Qawasmeh, Ahmad Qazza, Raed Hatamleh, Mohammad W. Alomari, Rania Saadeh   +4 more
doaj   +2 more sources

Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces

Mathematics
This 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, Silvestru Sever Dragomir, Kais Feki   +2 more
doaj   +3 more sources

On Further Refinements of Numerical Radius Inequalities

Axioms, 2023
This paper introduces several generalized extensions of some recent numerical radius inequalities of Hilbert space operators. More preciously, these inequalities refine the recent inequalities that were proved in literature.
Ayman Hazaymeh, Ahmad Qazza, Raed Hatamleh, Mohammad W. Alomari, Rania Saadeh   +4 more
doaj   +3 more sources

Numerical radius inequalities for Hilbert $C^*$-modules [PDF]

Mathematica Bohemica, 2022
We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable ...
Sadaf Fakri Moghaddam, Alireza Kamel Mirmostafaee   +1 more
doaj   +1 more source

Some class of numerical radius peak $n$-linear mappings on $l_p$-spaces

Математичні Студії, 2022
For $n\geq 2$ and a real Banach space $E,$ ${\mathcal L}(^n E:E)$ denotes the space of all continuous $n$-linear mappings from $E$ to itself. Let $$\Pi(E)=\Big\{[x^*, (x_1, \ldots, x_n)]: x^{*}(x_j)=\|x^{*}\|=\|x_j\|=1~\mbox{for}~{j=1, \ldots, n}\Big\}.$$
S. G. Kim
doaj   +1 more source

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

AUT 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

Some Generalized Euclidean Operator Radius Inequalities

Axioms, 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, Khalid Shebrawi, Christophe Chesneau   +2 more
doaj   +1 more source

Schur multiplier operator and matrix inequalities [PDF]

Journal 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

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

Energy 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

On Numerical Radius Bounds Involving Generalized Aluthge Transform

Journal of Function Spaces, 2022
In this paper, we establish some upper bounds of the numerical radius of a bounded linear operator S defined on a complex Hilbert space with polar decomposition S=U∣S∣, involving generalized Aluthge transform.
Tao Yan, Javariya Hyder, Muhammad Saeed Akram, Ghulam Farid, Kamsing Nonlaopon   +4 more
doaj   +1 more source