Multiple operator integrals, Haagerup and Haagerup‐like tensor products, and operator ideals

We study Schatten–von Neumann properties of multiple operator integrals with integrands in the Haagerup tensor product of L ∞ spaces. We obtain sharp, best possible estimates. This allowed us to obtain sharp Schatten–von Neumann estimates in the case of Haagerup-like tensor products.

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