A CHARACTERIZATION OF CHAOTIC ORDER AND A PROBLEM

Authors
FUJII M JIANG JF KAMEI E TANAHASHI K
Citation
M. Fujii et al., A CHARACTERIZATION OF CHAOTIC ORDER AND A PROBLEM, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2(2), 1998, pp. 149-156
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
JOURNAL OF INEQUALITIES AND APPLICATIONS → ACNP
ISSN journal
10255834
Volume
2
Issue
2
Year of publication
1998
Pages
149 - 156
Database
ISI
SICI code
1025-5834(1998)2:2<149:ACOCOA>2.0.ZU;2-Z
Abstract
In our previous notes, we give a useful characterization of the chaoti c order, i.e., log A greater than or equal to log B for positive inver tible operators A and B. 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 by A(delta) gr eater than or equal to B-delta (0 < delta < 1) as an interpolation bet ween the chaotic order and the usual order via the Furuta inequality.