I am interested in trace inequalities and especially the Peierls-Bogoliubov inequality. Wiki has some information and references on the subject, but as far as I've checked, the proofs are restricted to finie-dimensions (matrices). I was wondering if there are any references that prove the Peierls-Bogoliubov inequality for operators on an infinite-dim Hilbert space?
2026-03-28 20:41:20.1774730480
Can Peiels-Bogoliubov inequality be extended to infinite-dimensions?
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