Stability of AN-Operators under Functional Calculus

被引：0

作者：

Ramesh, G. ^{[1
]}

Osaka, H. ^{[2
]}

Udagawa, Y. ^{[3
]}

Yamazaki, T. ^{[4
]}

机构：

[1] Indian Inst Technol Hyderabad, Dept Math, Sangareddy 502285, Telangana, India

[2] Ritsumeikan Univ, Dept Math Sci, Kusatsu, Shiga 5258577, Japan

[3] Naruto Univ Educ, Dept Adv Practice Sch Educ, 748 Nakajima,Naruto Cho, Naruto 7728502, Japan

[4] Toyo Univ, Dept Elect Elect & Comp Engn, Kawagoe, Saitama 3508585, Japan

来源：

ANALYSIS MATHEMATICA | 2023年 / 49卷 / 03期

关键词：

norm attaining operator; absolutely norm attaining operator; essential spectrum; functional calculus;

D O I：

10.1007/s10476-023-0231-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we discuss absolutely norm attaining property (AN-property in short) of the Jordan product and Lie-bracket. We propose a functional calculus for positive absolutely norm attaining operators and discuss the stability of the AN-property under the functional calculus. As a consequence we discuss the operator mean of positive AN-operators.

引用

页码：825 / 839

页数：15

共 30 条

[1]

[Anonymous], 1967, A Hilbert Space Problem Book

[2]

[Anonymous], 1980, Introduction to Functional Analysis

[3]

Bala N, 2024, Arxiv, DOI arXiv:2002.09167

[4] A representation of hyponormal absolutely norm attaining operators [J].

Bala, Neeru ;

Ramesh, G. .

BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 171

[5] Spectral properties of absolutely minimum attaining operators [J].

Bala, Neeru ;

Golla, Ramesh .

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (03) :630-649

[6] THE ESSENTIAL MINIMUM MODULUS [J].

BOULDIN, R .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (04) :513-517

[7] Operators that attain their minima [J].

Carvajal, Xavier ;

Neves, Wladimir .

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2014, 45 (02) :293-312

[8] Operators That Achieve the Norm [J].

Carvajal, Xavier ;

Neves, Wladimir .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2012, 72 (02) :179-195

[9]

Conway J. B., 2019, Graduate Texts in Mathematics, V96

[10]

Douglas R.G., 1988, BANACH ALGEBRA TECHN

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