Littlewood-Paley Decomposition of Operator Densities and Application to a New Proof of the Lieb-Thirring Inequality
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The goal of this note is to prove an analogue of the Littewood-Paley decomposition for densities of operators and to use it in the context of Lieb-Thirring inequalities.
KeywordsLittlewood-Paley decomposition Lieb-Thirring inequality Density matrix
Mathematics Subject Classification (2010)42B15 46N50
The author is grateful to Rupert Frank for useful discussions. Financial support from the ERC MNIQS-258023 is acknowledged.
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