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Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | Polish Acad Sciencies Inst Mathematics | 2001It is studied when inclusions between rearrangement invariant function spaces on the interval [0, infinity) are disjointly strictly singular operators. In particular suitable criteria, in terms of the fundamental function, for the inclusions L 1[...]texto impreso
García del Amo Jiménez, Alejandro José ; Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | London Mathematical Society | 2000A linear operator between two Banach spaces X and Y is strictly-singular (or Kato) if it fails to be an isomorphism on any infinite dimensional subspace. A weaker notion for Banach lattices introduced in [8] is the following one: an operator T f[...]texto impreso
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Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | Elsevier | 2004-03-15Strict singularity and strict co-singularity of inclusions between symmetric sequence spaces are studied. Suitable conditions are provided involving the associated fundamental functions. The special case of Lorentz and Marcinkiewicz spaces is ch[...]texto impreso
An operator A mapping a Banach space E into a Banach space F is called strictly singular (or Kato) if any restriction of A to an infinite-dimensional subspace of E is not an isomorphism. The paper deals with the problem of describing all co[...]texto impreso
Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. ; Hernández, Francisco L. | Interperiodica | 2005The paper deals with the strict singularity and the disjoint strict singularity of the canonical embedding between couples of rearrangement invariant spaces E and F. Let E c F. This embedding is called strictly singular (disjointly strictly sing[...]texto impreso
Hernández, Francisco L. ; Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. | Springer | 2008-01It is given a complete characterization of the strict singularity and the disjoint strict singularity of the inclusions E ? L1 + L? for the class of rearrangement invariant function spaces E on the [0,?) interval. Their relationship is also anal[...]texto impreso
Hernández, Francisco L. ; Semenov, Evgeny M. ; Tradacete Pérez, Pedro | American Mathematical Society | 2010-02We study the class Vp of strictly singular non-compact operators on Lp spaces. This allows us to obtain interpolation results for strictly singular operators on Lp spaces. Given 1 ? p
