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Trace inequalities for logarithms and powers of J-Hermitian matrices

机译:J-Hermitian矩阵的对数和幂的迹线不等式

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摘要

Spectral inequalities are stated for the trace of the exponential or the logarithmic of certain J-Hermitian matrices, J = I-r circle plus -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.
机译:对于某些J-Hermitian矩阵的指数或对数迹,说明了光谱不等式,J = I-r圆加上-In-r,0

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