A-Numerical Radius Orthogonality and Parallelism of Semi-Hilbertian Space Operators and Their Applications

被引：47

作者：

Bhunia, Pintu ^{[1
]}

Feki, Kais ^{[2
]}

Paul, Kallol ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

[2] Univ Sfax, Sfax, Tunisia

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2021年 / 47卷 / 02期

关键词：

Positive operator; Numerical radius; Orthogonality; Parallelism; A-rank one operator; INEQUALITIES;

D O I：

10.1007/s41980-020-00392-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we aim to introduce and characterize the numerical radius orthogonality of operators on a complex Hilbert space H which are bounded with respect to the seminorm induced by a positive operator A on H. Moreover, a characterization of the A-numerical radius parallelism for A-rank one operators is obtained. As applications of the results obtained, we derive some A-numerical radius inequalities of operator matrices, where A is the operator diagonal matrix whose each diagonal entry is a positive operator A on a complex Hilbert space H.

引用

页码：435 / 457

页数：23

共 26 条

[1] Metric properties of projections in semi-Hilbertian spaces [J].

Arias, M. Laura ;

Corach, Gustavo ;

Gonzalez, M. Celeste .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 62 (01) :11-28

[2] Partial isometries in semi-Hilbertian spaces [J].

Arias, M. Laura ;

Corach, Gustavo ;

Gonzalez, M. Celeste .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (07) :1460-1475

[3]

Baklouti H, 2020, LINEAR MULTILINEAR A, V68, P845, DOI 10.1080/03081087.2019.1593925

[4] On joint spectral radius of commuting operators in Hilbert spaces [J].

Baklouti, Hamadi ;

Feki, Kais .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 557 :455-463

[5] Joint numerical ranges of operators in semi-Hilbertian spaces [J].

Baklouti, Hamadi ;

Feki, Kais ;

Ahmed, Ould Ahmed Mahmoud Sid .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 555 :266-284

[6]

BHUNIA P, ARXIV191006775V3MATH

[7]

Bhunia P, 2020, ELECTRON J LINEAR AL, V36

[8] Refinements of A-numerical radius inequalities and their applications [J].

Bhunia, Pintu ;

Nayak, Raj Kumar ;

Paul, Kallol .

ADVANCES IN OPERATOR THEORY, 2020, 5 (04) :1498-1511

[9] Numerical radius inequalities of operator matrices with applications [J].

Bhunia, Pintu ;

Bag, Santanu ;

Paul, Kallol .

LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (09) :1635-1644

[10] Numerical radius inequalities and its applications in estimation of zeros of polynomials [J].

Bhunia, Pintu ;

Bag, Santanu ;

Paul, Kallol .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 573 :166-177

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