4 papers
A characterization of completely bounded normal Jordan -homomorphisms on von Neumann algebras
Cédric Arhancet
We characterize completely bounded normal Jordan -homomorphisms acting on von Neumann algebras. We also characterize completely positive isometries acting on noncommutative $\ma…
Riesz transforms, Hodge-Dirac operators and functional calculus for multipliers I
Cédric Arhancet, Christoph Kriegler
In this work, we solve the problem explicitly stated at the end of a paper of Junge, Mei and Parcet [JEMS2018, Problem C.5] for a large class of groups including all amenable group…
On analyticity of semigroups on Bochner spaces and on vector-valued noncommutative -spaces
Cédric Arhancet
We show that the analyticity of semigroups of (not necessarily positive) selfadjoint contractive Fourier multipliers on -spaces of any abelian loca…
Complementation of the subspace of radial multipliers in the space of Fourier multipliers on
Cédric Arhancet, Christoph Kriegler
In this short note, we prove that the subspace of radial multipliers is contractively complemented in the space of Fourier multipliers on the Bochner space $\mathrm{L}^p(\mathbb{R}…