On the structure of absolutely minimum attaining operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:428

Article

Ganesh, Jadav¹  Ramesh, Golla¹  Sukumar, Daniel¹ 

[1] IIT Hyderabad, Dept Math, Yeddumailaram 502205, Telangana, India

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

DOI  :  10.1016/j.jmaa.2015.03.016

来源: Elsevier

【 摘 要 】

In this article we prove a characterization theorem for positive absolutely minimum attaining operators of first type. Using this we derive a representation theorem for general absolutely minimum attaining operators of first type, which is similar to that of the singular value decomposition for compact operators. We also study their spectrum and discuss about several properties of such operators. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free