A characterization of absolutely minimum attaining operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:468

Article

Ganesh, J.¹  Ramesh, G.¹  Sukumar, D.¹ 

[1] IIT Hyderabad, Dept Math, Sangareddy 502285, Telangana, India

关键词: Minimum modulus;    Absolutely minimum attaining operator;    Compact operator;    Spectrum;   

DOI  :  10.1016/j.jmaa.2018.08.034

来源: Elsevier

【 摘 要 】

We study the spectral properties of positive absolutely minimum attaining operators defined on infinite dimensional complex Hilbert spaces and using this we derive a characterization theorem for such type of operators. We construct several examples and discuss some of the properties of this class. Also, we extend this characterization theorem for general absolutely minimum attaining operators by means of the polar decomposition theorem. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free