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 Further developments of Furuta inequality of indefinite type
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
authors: 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.
URI: http://hdl.handle.net/10773/6064
ISSN: 1331-4343
publisher version/DOI: http://files.ele-math.com/
source: Mathematical Inequalities and Applications
appears in collectionsMAT - Artigos

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