Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/6064
Title: | Further developments of Furuta inequality of indefinite type |
Author: | Bebiano, N. Lemos, R. Da Providěncia, J. Soares, G. |
Keywords: | Furuta inequality J-chaotic order J-relative entropy J-selfadjoint matrix Krein space |
Issue Date: | 2010 |
Abstract: | A selfadjoint involutive matrix J endows Cn with an indefinite inner product [•,•] given by [x,y] := (Jx,y), x,y ∈ C n. We study matrix inequalities for J-selfadjoint matrices with nonnegative eigenvalues. Namely, Furuta inequality of indefinite type is revisited. Characterizations of the J-chaotic order and of the J-relative entropy are obtained via Furuta inequality. The parallelism between the definite versions of the inequalities on Hilbert spaces and the corresponding indefinite versions on Krein spaces is pointed out. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/6064 |
ISSN: | 1331-4343 |
Publisher Version: | http://files.ele-math.com/ |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
mia.pdf | 214.67 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.