Euclidean operator radius inequalities of d-tuple operators and operator matrices

被引：0

作者：

Jana, Suvendu ^{[1
]}

Bhunia, Pintu ^{[2
]}

Paul, Kallol ^{[3
]}

机构：

[1] Mahishadal Girls Coll, Dept Math, Purba Medinipur 721628, W Bengal, India

[2] Indian Inst Sci, Dept Math, Bengaluru 560012, India

[3] Jadavpur Univ, Dept Math, Kolkata 700032, India

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 04期

关键词：

Euclidean operator radius; numerical radius; operator norm; bounded linear operator; NUMERICAL RADIUS;

D O I：

10.1515/ms-2024-0070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Euclidean operator radius inequalities of d-tuple operators as well as the sum and the product of d-tuple operators. A power inequality for the Euclidean operator radius of d-tuple operators is also studied. Further, we study the Euclidean operator radius inequalities of 2 x 2 operator matrices whose entries are d-tuple operators.

引用

页码：947 / 962

页数：16

共 23 条

[1] Numerical radius inequalities for n x n operator matrices
Abu-Omar, Amer
Kittaneh, Fuad
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 468 : 18 - 26
[2] Commuting Tuples of Normal Operators in Hilbert Spaces
Baklouti, Hamadi
Feki, Kais
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (06)
[3] BERNAU SJ, 1963, P CAMB PHILOS SOC, V59, P727
[4] Bhunia P., 2022, Lectures on Numerical Radius Inequalities
[5] Bhunia P, 2023, ADV OPER THEORY, V8, DOI 10.1007/s43036-022-00237-7
[6] CHO M, 1981, PAC J MATH, V95, P27
[7] Hyponormality and subnormality for powers of commuting pairs of subnormal operators
Curto, Raul E.
Lee, Sang Hoon
Yoon, Jasang
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 245 (02) : 390 - 412
[8] DASH AT, 1973, STUD MATH, V45, P225
[9] Geometric properties of operator spaces endowed with the numerical radius norm
Dey, Subhrajit
Mal, Arpita
Paul, Kallol
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (01)
[10] Upper Bounds for the Euclidean Operator Radius and Applications
Dragomir, S. S.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)

← 1 2 3 →