A study of the derivation of a known inequality for spectral functions of products of exponentials using the Campbell-Baker-Hausdor formula.

Abstract

This paper looks at the study of a derivation of a known inequality for spectral

functions of products of exponentials using the Baker - Campbell - Hausdor for-

mula. This known inequality is called the Golden-Thompson inequality.

The Kalman and the Gramian matrices, Lyapunov equation and matrix exponen-

tial, Hadamard's lemma and Duhamel formula as well as the trace inequality due

to Araki-Lieb-Thirring are all considered in this work.

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APA

Cobbah, E (2021). A study of the derivation of a known inequality for spectral functions of products of exponentials using the Campbell-Baker-Hausdor formula.. Afribary. Retrieved from https://afribary.com/works/a-study-of-the-derivation-of-a-known-inequality-for-spectral-functions-of-products-of-exponentials-using-the-campbell-baker-hausdor-formula

MLA 8th

Cobbah, Emmanuel "A study of the derivation of a known inequality for spectral functions of products of exponentials using the Campbell-Baker-Hausdor formula." Afribary. Afribary, 14 Apr. 2021, https://afribary.com/works/a-study-of-the-derivation-of-a-known-inequality-for-spectral-functions-of-products-of-exponentials-using-the-campbell-baker-hausdor-formula. Accessed 28 Apr. 2024.

MLA7

Cobbah, Emmanuel . "A study of the derivation of a known inequality for spectral functions of products of exponentials using the Campbell-Baker-Hausdor formula.". Afribary, Afribary, 14 Apr. 2021. Web. 28 Apr. 2024. < https://afribary.com/works/a-study-of-the-derivation-of-a-known-inequality-for-spectral-functions-of-products-of-exponentials-using-the-campbell-baker-hausdor-formula >.

Chicago

Cobbah, Emmanuel . "A study of the derivation of a known inequality for spectral functions of products of exponentials using the Campbell-Baker-Hausdor formula." Afribary (2021). Accessed April 28, 2024. https://afribary.com/works/a-study-of-the-derivation-of-a-known-inequality-for-spectral-functions-of-products-of-exponentials-using-the-campbell-baker-hausdor-formula