A characterization of chaotic order and a problem. Issue 2 (1998)

• Record Type: Journal Article
• Authors: Fujii, Masatoshi; Jiang, Jian Fei; Kamei, EiZaburo; Tanahashi, Kotaro
• Is Part Of: Journal of inequalities and applications. Volume 2:Issue 2(1998)
• Page Start: 149
• Page End: 156
• Publication Date: 1998
• Subjects: Positive operators; Chaotic order; Furuta inequality; Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/S1025583498000095
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : In our previous notes, we give a useful characterization of the chaotic order, i.e., log A ≥ log B for positive invertible operatorsA andB . In this note, we present a short proof to the characterization of the chaotic order and give an answer to a related problem on it. Moreover we consider the orders defined byA δ ≥ B ​ δ ( 0 < δ < 1 ) as an interpolation between the chaotic order and the usual order via the Furuta inequality.