Complete boundedness of multiple operator integrals
Functional Analysis
2019-08-22 v1
Abstract
In this paper, we characterize the multiple operator integrals mappings which are bounded on the Haagerup tensor product of spaces of compact operators. We show that such maps are automatically completely bounded and prove that this is equivalent to a certain factorization property of the symbol associated to the operator integral mapping. This generalizes a result by Juschenko-Todorov-Turowska on the boundedness of continuous multilinear Schur multipliers.
Keywords
Cite
@article{arxiv.1908.07879,
title = {Complete boundedness of multiple operator integrals},
author = {Clément Coine},
journal= {arXiv preprint arXiv:1908.07879},
year = {2019}
}
Comments
13 pages