Trace inequalities for logarithms and powers of J-Hermitian matrices

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 ope...

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Bibliographic Details
Main Author: Bebiano, N. (author)
Other Authors: Lemos, R. (author), da Providência, J. (author), Soares, G. (author)
Format: article
Language:eng
Published: 1000
Subjects:
Indefinite inner product space
J-Hermitian matrix
Klein inequality
Peierls-Bogoliubov inequality
Relative entropy
Tsallis entropy
Online Access:http://hdl.handle.net/10773/5991
Country:Portugal
Oai:oai:ria.ua.pt:10773/5991

Internet

http://hdl.handle.net/10773/5991

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