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http://hdl.handle.net/10773/5991| Title: | Trace inequalities for logarithms and powers of J-Hermitian matrices |
| Author: | 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. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/5991 |
| ISSN: | 0024-3795 |
| Appears in Collections: | DMat - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| LAA 2010.pdf | 175.91 kB | Adobe PDF |  |
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