Aviso: Por labores de mantenimiento y mejora del repositorio, el martes día 1 de Julio, Docta Complutense no estará operativo entre las 9 y las 14 horas. Disculpen las molestias.
 

On the injection of a Köthe function space into L 1 (μ)

Loading...
Thumbnail Image

Official URL

Full text at PDC

Publication date

1995

Advisors (or tutors)

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

Panstwowe Wydawnictwo Nawkowe
Citations
Google Scholar

Citation

Abstract

Operators from a Banach space X into a Banach space Y weaker than isomorphisms and, nevertheless, preserving some isomorphic property, i.e. such that a good property of Y lifts to X, have been studied by many authors. This note is also devoted to that study; more precisely, given a complete σ-finite measure space (Ω,Σ,μ) into L1(μ) and given necessary and sufficient conditions for such an operator to be a Tauberian or semi-Tauberian operator, a semi-embedding or a ∗∗-injection, in the case when X is an Orlicz space, it is also proved that these conditions are equivalent to the reflexivity of X. The results obtained are applied to deduce properties of the vector-valued Köthe function space X(E), E a Banach space, from the corresponding properties of L1(μ,E).

Research Projects

Organizational Units

Journal Issue

Description

Keywords

Collections