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|title: ||Further developments of Furuta inequality of indefinite type|
|authors: ||Bebiano, N.|
Da Providěncia, J.
|keywords: ||Furuta inequality|
|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.|
|publisher version/DOI: ||http://files.ele-math.com/|
|source: ||Mathematical Inequalities and Applications|
|appears in collections||MAT - Artigos|
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