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

Abstract

We study Schatten--von Neumann properties of multiple operator integrals with integrands in the Haagerup tensor product of $L^{\infty }$ spaces. We obtain sharp, best possible estimates. This allowed us to obtain sharp Schatten--von Neumann estimates in the case of {\it Haagerup-like} tensor products.

19 pages. arXiv admin note: text overlap with arXiv:1505.07173

References in corpus (2)

• Operator Lipschitz Functions
• Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals

Cited by in corpus (3)

• An Operad of Non-commutative Independences Defined by Trees
• Noncommutative $C^k$ functions and Fréchet derivatives of operator functions
• Functions of noncommuting operators under perturbation of class ${\mathbf{S}}_p$