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 Trace inequalities for logarithms and powers of J-Hermitian matrices
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5991

title: Trace inequalities for logarithms and powers of J-Hermitian matrices
authors: Bebiano, N.
Lemos, R.
da Providência, J.
Soares, G.
keywords: Indefinite inner product space
J-Hermitian matrix
Klein inequality
Peierls-Bogoliubov inequality
Relative entropy
Tsallis entropy
issue date: 2010
publisher: Elsevier
abstract: Spectral inequalities are stated for the trace of the exponential or the logarithmic of certain J-Hermitian matrices, J = Ir ⊕ - In - r, 0 < r < n . The obtained inequalities are established in the context of indefinite inner product spaces, and they are known to be valid for Hilbert space operators or operator algebras. © 2010 Elsevier Inc. All rights reserved.
URI: http://hdl.handle.net/10773/5991
ISSN: 0024-3795
source: Linear Algebra and Its Applications
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