Improved and refined numerical radius inequalities for Hilbert space operators

Al-Dolat, Mohammed; Al-Zoubi, Khaldoun

doi:10.21203/rs.3.rs-2668438/v1

Cited by 2 publications

(3 citation statements)

References 6 publications

(6 reference statements)

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“…The numeric range of an operator has some interesting properties, such as the closure of the numeric range of an operator's spectrum. For basic information about this theory, we can give [1,2,3,7,17] and its references.…”

Section: Introduction Manymentioning

confidence: 99%

Application of Operator Matrices of 2x2 of Berezin Radius Inequality

2023

Proceeding Book of 1st International Conference on Recent and Innovative Results in Engineering and Technology Icriret 2023

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Many researchers in mathematics and mathematical physics are working on the Berezin symbol of the core Hilbert space operator, which has been proliferating in recent years. In this direction, some researchers (1.2) continued their important studies on the Berezin inequality ([18-24]). As a matter of fact, improved and improved versions of this inequality have attracted the attention of researchers in recent years ([8-11]. In this study, the upper bounds of the Berezin radius inequalities of 2 × 2 operator matrices were found. ) and ) inequalities are shown for 2 × 2 operator matrices using auxiliary theorems.

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Section: Introduction Manymentioning

confidence: 99%

Application of Operator Matrices of 2x2 of Berezin Radius Inequality

2023

Proceeding Book of 1st International Conference on Recent and Innovative Results in Engineering and Technology Icriret 2023

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“…2.22, we need the following lemma which can be found in(Al-Dolat & Al-Zoubi, 2023). can state the following result in this paper as follows.…”

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confidence: 98%

“…2.16, we need the following lemma which can be found in(Al-Dolat & Al-Zoubi, 2023). present new upper bound for the numerical radius of the off-diagonal of a operator matrix.As special case of Theorem 2.16, we have the following refinement of the inequality (1.4).…”

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confidence: 99%

General Upper Bounds for the Numerical Radii of Powers of Hilbert Space Operators

AL-DOLAT

2023

EPSTEM

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In this paper, we will present several upper bounds for the numerical radii of a operator matrices.We use these bounds to generalize and improve some well-known numerical radius inequalities. We provide a refinement of an earlier numerical radius inequality due to [Norm and numerical radius inequalities for Hilbert space operators], (Bani-Domi & Kittaneh, 2021) [Refined and generalized numerical radius inequalities for operator matrices] and (Al-Dolat & Kittaneh, 2023) [Upper bounds for the numerical radii of powers of Hilbert space operators].

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Improved and refined numerical radius inequalities for Hilbert space operators

Abstract: This present work aims to provide several new upper bounds for the numerical radius of Hilbert space operators. We will use these upper bounds to improve and refine some results presented in [1] and [9] MSC(2010): 47A12, 47A30, 47A63, 47B33.

Cited by 2 publications

References 6 publications

Application of Operator Matrices of 2x2 of Berezin Radius Inequality

Application of Operator Matrices of 2x2 of Berezin Radius Inequality

General Upper Bounds for the Numerical Radii of Powers of Hilbert Space Operators

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