67 citations · 136 across the 26 of their papers we have counts for
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A weak-type inequality for non-commutative martingales and applications
Narcisse Randrianantoanina
We prove a weak-type (1,1) inequality for square functions of non-commutative martingales that are simultaneously bounded in and . More precisely, the following non-comm…
Non-commutative martingale transforms
Narcisse Randrianantoanina
We prove that non-commutative martingale transforms are of weak type . More precisely, there is an absolute constant such that if $\M$ is a semi-finite von Neumann algeb…
Embeddings of into non-commutative spaces
Narcisse Randrianantoanina
Let $\M$ be a semi-finite von Neumann algebra equipped with a faithful normal trace . We study the subspace structures of non-commutative Lorentz spaces $L_{p,q}(\M, τ)$, extend…
Compact range property and operators on -algebras
Narcisse Randrianantoanina
We prove that a Banach space has the compact range property (CRP) if and only if for any given -algebra , every absolutely summing operator from into …
Sequences in non-commutative L^p-spaces
Narcisse Randrianantoanina
Let be a semi-finite von Neumann algebra equipped with a distinguished faithful, normal, semi-finite trace . We introduce the notion of equi-integrability in non-commut…
Kadec-Pelczynski decomposition for Haagerup L_p-spaces
Narcisse Randrianantoanina
Let M be a von Neumann algebra (not necessarily semi-finite). We provide a generalization of the classical Kadec-Pelczynski subsequence decomposition of bounded sequences in L^p[0,…