Geodesic
Complete boundedness of multiple operator integrals
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 474-490

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper, we characterize the multiple operator integrals mappings that 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 with the operator integral mapping. This generalizes a result by Juschenko-Todorov-Turowska on the boundedness of measurable multilinear Schur multipliers.
DOI : 10.4153/S0008439520000570
Mots-clés : Complete boundedness, multiplier, operator integrals 
Coine, Clément. Complete boundedness of multiple operator integrals. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 474-490. doi: 10.4153/S0008439520000570
@article{10_4153_S0008439520000570,
     author = {Coine, Cl\'ement},
     title = {Complete boundedness of multiple operator integrals},
     journal = {Canadian mathematical bulletin},
     pages = {474--490},
     year = {2021},
     volume = {64},
     number = {2},
     doi = {10.4153/S0008439520000570},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000570/}
}
TY  - JOUR
AU  - Coine, Clément
TI  - Complete boundedness of multiple operator integrals
JO  - Canadian mathematical bulletin
PY  - 2021
SP  - 474
EP  - 490
VL  - 64
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000570/
DO  - 10.4153/S0008439520000570
ID  - 10_4153_S0008439520000570
ER  - 
%0 Journal Article
%A Coine, Clément
%T Complete boundedness of multiple operator integrals
%J Canadian mathematical bulletin
%D 2021
%P 474-490
%V 64
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000570/
%R 10.4153/S0008439520000570
%F 10_4153_S0008439520000570

Cité par Sources :