# Trace inequalities for logarithms and powers of [formula omitted]-Hermitian matrices

- Authors
- Journal
- Linear Algebra and its Applications 0024-3795
- Publisher
- Elsevier
- Publication Date
- Volume
- 432
- Issue
- 12
- Identifiers
- DOI: 10.1016/j.laa.2010.01.017
- Keywords
- Disciplines

## Abstract

Abstract Spectral inequalities are stated for the trace of the exponential or the logarithmic of certain J -Hermitian matrices, J = I r ⊕ - I n - 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.

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