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Golden–Thompson inequality

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In mathematics, the Golden–Thompson inequality says that for Hermitian matrices A and B,

 \operatorname{tr}\, e^{A+B} \le \operatorname{tr} \left(e^A e^B\right)

where tr is the trace, and eA is the matrix exponential.

[edit] References

  • J.E. Cohen, S. Friedland, T. Kato, F. Kelly, Eigenvalue inequalities for products of matrix exponentials, Linear algebra and its applications, Vol. 45, pp. 55–95, 1982. doi:10.1016/0024-3795(82)90211-7
  • D. Petz, A survey of trace inequalities, in Functional Analysis and Operator Theory, 287–298, Banach Center Publications, 30 (Warszawa 1994).
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