Cédric Arhancet

activity

20092026

most citedNoncommutative Figa-Talamanca-Herz algebras for Schur multipliers

5 citations · 13 across the 35 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.FA2011

Unconditionality, Fourier multipliers and Schur multipliers

Cédric Arhancet

Let $G$ be an infinite locally compact abelian group. If $X$ is Banach space, we show that if every bounded Fourier multiplier $T$ on $L^{2} (G)$ has the property that $T\ot Id_X$ is…

math.OA2011

Square functions for Ritt operators on noncommutative $L^{p}$ -spaces

Cédric Arhancet

For any Ritt operator $T$ acting on a noncommutative $L^{p}$ -space, we define the notion of \textit{completely} bounded functional calculus $H^{\infty} (B_{γ})$ where $B_{γ}$ is a Stolz dom…

math.FA2011

Dilation of Ritt operators on L^{p}-spaces

Cedric Arhancet, Christian Le Merdy

For any Ritt operator T:L^{p}(Ω) --> L^{p}(Ω), for any positive real number α, and for any x in L^{p}, we consider the square functions |x |_{T,α} = \Bigl| \Bigl(\sum_{k=1}^{\infty…

Unconditionality, Fourier multipliers and Schur multipliers

Square functions for Ritt operators on noncommutative Lp-spaces

Dilation of Ritt operators on L^{p}-spaces

Square functions for Ritt operators on noncommutative $L^{p}$ -spaces