38 citations · 50 across the 6 of their papers we have counts for
7 papers
Abstract Lorentz spaces and Köthe duality
Anna Kamińska, Yves Raynaud
Given a fully symmetric Banach function space and a decreasing positive weight on , , the generalized Lorentz space is defined as t…
Calderón-Lozanovskii interpolation on quasi-Banach lattices
Yves Raynaud, Pedro Tradacete
We consider the Calderón-Lozanovskii construction in the context of quasi-Banach lattices and provide an extension of a result by V. I. Ovchinnikov concerning the asso…
Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity
C. Ward Henson, Yves Raynaud
We give a criterion ensuring that the elementary class of a modular Banach space E (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrap…
New axiomatizable classes of Banach spaces via disjointness-preserving isometries
Yves Raynaud
Let C be an axiomatizable class of order continuous real or complex Banach lattices, that is, this class is closed under isometric vector lattice isomorphisms and ultraproducts, an…
Dual spaces to Orlicz - Lorentz spaces
Anna Kamińska, Karol Leśnik, Yves Raynaud
For an Orlicz function and a decreasing weight , two intrinsic exact descriptions are presented for the norm in the Köthe dual of an Orlicz-Lorentz function space …
New formulas for decreasing rearrangements and a class of Orlicz-Lorentz spaces
Anna Kamińska, Yves Raynaud
Using a nonlinear version of the well known Hardy-Littlewood inequalities, we derive new formulas for decreasing rearrangements of functions and sequences in the context of convex…
On subspaces of non-commutative L_p-spaces
Yves Raynaud, Quanhua Xu
We study some structural aspects of the subspaces of the non-commutative (Haagerup) L_p-spaces associated with a general (non necessarily semi-finite) von Neumann algebra A. If a s…