Multiple operator integrals, Haagerup and Haagerup-like tensor products, and operator ideals
Functional Analysis
2017-06-07 v1 Classical Analysis and ODEs
Complex Variables
Spectral Theory
Abstract
We study Schatten--von Neumann properties of multiple operator integrals with integrands in the Haagerup tensor product of 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.
Cite
@article{arxiv.1603.04910,
title = {Multiple operator integrals, Haagerup and Haagerup-like tensor products, and operator ideals},
author = {Alexei Aleksandrov and Vladimir Peller},
journal= {arXiv preprint arXiv:1603.04910},
year = {2017}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:1505.07173