5 citations · 13 across the 35 of their papers we have counts for
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Radial Schur multipliers on trees and quantitative Fourier--Schur separation
Cédric Arhancet
We study ordinary and completely bounded norms of radial Schur multipliers on trees. On the homogeneous tree of countably infinite degree, we show that boundedness implies complete…
A modular theory of contractive projections on Banach spaces with applications to noncommutative -spaces
Cédric Arhancet
We develop a differential-geometric approach to contractive projections on complex Banach spaces based on Levi forms of plurisubharmonic functions. We show that if a projection …
Multiplicativity of the weak Haagerup constant
Cédric Arhancet
We prove that the weak Haagerup constant is multiplicative with respect to direct products, namely for any local…
Optimal square size for separating the operator and completely bounded norms of Schur multipliers on
Cédric Arhancet
We determine the smallest square size at which the operator norm and the completely bounded norm of a Schur multiplier on can differ. More precisely, for $A=\begin{bmatrix}1&…
Completely isometric subspaces of noncommutative -spaces and contractive projections
Cédric Arhancet
We investigate the relation between the complete isometry class of subspaces of noncommutative -spaces and their contractive complementability, where …
Spectral nonassociative -spaces for -algebras
Cédric Arhancet
We complete the construction of tracial spectral nonassociative -spaces for general -algebras. More precisely, if is a -…
A reverse Riesz estimate combined with a spectral gap implies a Poincaré inequality
Cédric Arhancet
Working at the level of a sectorial operator on a Banach space and an unbounded operator defined on a subspace of in another Banach space , we show that a…
Spectral versus interpolation norms in tracial nonassociative -spaces
Cédric Arhancet, Lei Li
We investigate the metric structure of nonassociative -spaces associated with tracial -algebras. While noncommutative -spaces arising fro…
On the convex structure of the space of quantum channels which act as Fourier multipliers
Cédric Arhancet, Lei Li
If is a compact group, continuous normalized positive definite functions are in one-to-one correspondence with unital quantum channels acting as Fourier multipliers on the grou…
Dolbeault-Dirac operators on compact Kähler manifolds in Banach noncommutative geometry
Cédric Arhancet
We develop an -theory for Dolbeault-Dirac operators on compact Kähler manifolds with coefficients in a Hermitian holomorphic vector bundle . For each $p \in (1,\in…