Generalized numerical radius of a bounded linear operator

被引：1
|
作者：
Das, Namita [1 ]
Jena, Mamata Rani [1 ]
机构：
[1] Utkal Univ, PG Dept Math, Bhubaneswar 751004, India
来源：
ADVANCES IN OPERATOR THEORY | 2023年 / 8卷 / 04期
关键词：
Hilbert space; The generalized numerical radius; Hyponormal operator; Involutions; Nilpotent operators; INEQUALITY;
D O I：
10.1007/s43036-023-00289-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we considered the generalized numerical radius of a bounded linear operator defined from a Hilbert space H into itself and derived certain basic properties of generalized numerical radius of normal and hyponormal operators. We then concentrate on nilpotent operators and operators that are involutions and idempotents and present estimates for the generalized numerical radius. We also considered several examples to illustrate our results.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Generalized numerical radius of a bounded linear operator
    Namita Das
    Mamata Rani Jena
    Advances in Operator Theory, 2023, 8
  • [2] On Numerical Radius and Crawford Number Attainment Sets of a Bounded Linear Operator
    Sain, Debmalya
    Mal, Arpita
    Bhunia, Pintu
    Paul, Kallol
    JOURNAL OF CONVEX ANALYSIS, 2021, 28 (01) : 67 - 80
  • [3] ON NUMERICAL RADIUS OF A LINEAR OPERATOR
    WILLIAMS, JP
    CRIMMINS, T
    AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (07): : 832 - &
  • [4] Euclidean Operator Radius Inequalities of a Pair of Bounded Linear Operators and Their Applications
    Jana, Suvendu
    Bhunia, Pintu
    Paul, Kallol
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2023, 54 (01):
  • [5] Euclidean Operator Radius Inequalities of a Pair of Bounded Linear Operators and Their Applications
    Suvendu Jana
    Pintu Bhunia
    Kallol Paul
    Bulletin of the Brazilian Mathematical Society, New Series, 2023, 54
  • [6] An eigenvalue problem for the numerical range of a bounded linear operator
    Uri Fixman
    Frank Okoh
    G. K. R. Rao
    Integral Equations and Operator Theory, 1998, 31 : 421 - 435
  • [7] On Numerical Radius and Crawford Number Attainment Sets of a Bounded Linear Operator (vol 28, pg 67, 2021)
    Sain, Debmalya
    Mal, Arpita
    Bhunia, Pintu
    Paul, Kallol
    JOURNAL OF CONVEX ANALYSIS, 2023, 30 (01) : 401 - 402
  • [8] An eigenvalue problem for the numerical range of a bounded linear operator
    Fixman, U
    Okoh, F
    Rao, GKR
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 1998, 31 (04) : 421 - 435
  • [9] NUMERICAL IMAGE OF A LINEAR BOUNDED OPERATOR OF A HILBERT SPACE
    PIQUET, C
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 272 (17): : 1105 - &
  • [10] Numerical radius and a notion of smoothness in the space of bounded linear operators
    Roy, Saikat
    Sain, Debmalya
    BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 173
12345