Sobre la p-convexidad de espacios de Orlicz.
Sobre la dualidad de una clase de espacios de Orlicz de funciones vectoriales.
Lattice structures in Orlicz spaces
On minimality and l-complemented subspaces of Orlicz function spaces.
Several properties of the class of minimal Orlicz function spaces LF are described. In particular, an explicitly defined class of non-trivial minimal functions is shown, which provides concrete examples of Orlicz spaces without complemented copies of F-spaces.
El dual de espacios de Orlicz sobre cuerpos no arquimedianos.
On -strictly singular operators on variable exponent spaces
Strictly singular operators on variable exponent (or Nakano) function spaces are characterized in terms of being -strictly singular for the values in the essential range of the exponent function. This extends a result of L. Weiss [On perturbations of Fredholm operators in -spaces, Proc. Amer. Math. Soc. 67 (1977), 287-292] for -spaces.
Disjoint strict singularity of inclusions between rearrangement invariant spaces
It is studied when inclusions between rearrangement invariant function spaces on the interval [0,∞) are disjointly strictly singular operators. In particular suitable criteria, in terms of the fundamental function, for the inclusions and to be disjointly strictly singular are shown. Applications to the classes of Lorentz and Marcinkiewicz spaces are given.
Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces
If G is the closure of in exp L₂, it is proved that the inclusion between rearrangement invariant spaces E ⊂ F is strictly singular if and only if it is disjointly strictly singular and E ⊊ G. For any Marcinkiewicz space M(φ) ⊂ G such that M(φ) is not an interpolation space between and G it is proved that there exists another Marcinkiewicz space M(ψ) ⊊ M(φ) with the property that the M(ψ) and M(φ) norms are equivalent on the Rademacher subspace. Applications are given and a question of Milman...
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