Geodesic
Limiting real interpolation methods for arbitrary Banach couples
Fernando Cobos1 ; Alba Segurado1
1 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid Plaza de Ciencias 3, 28040 Madrid, Spain
Studia Mathematica, Tome 213 (2012) no. 3, pp. 243-273

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study limiting $K$- and $J$-methods for arbitrary Banach couples. They are related by duality and they extend the methods already known in the ordered case. We investigate the behaviour of compact operators and we also discuss the representation of the methods by means of the corresponding dual functional. Finally, some examples of limiting function spaces are given.
DOI : 10.4064/sm213-3-4
Keywords: study limiting k j methods arbitrary banach couples related duality extend methods already known ordered investigate behaviour compact operators discuss representation methods means corresponding dual functional finally examples limiting function spaces given

Fernando Cobos 1 ; Alba Segurado 1

1 Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid Plaza de Ciencias 3, 28040 Madrid, Spain 
@article{10_4064_sm213_3_4,
     author = {Fernando Cobos and Alba Segurado},
     title = {Limiting real interpolation methods for
 arbitrary {Banach} couples},
     journal = {Studia Mathematica},
     pages = {243--273},
     publisher = {mathdoc},
     volume = {213},
     number = {3},
     year = {2012},
     doi = {10.4064/sm213-3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm213-3-4/}
}
TY  - JOUR
AU  - Fernando Cobos
AU  - Alba Segurado
TI  - Limiting real interpolation methods for
 arbitrary Banach couples
JO  - Studia Mathematica
PY  - 2012
SP  - 243
EP  - 273
VL  - 213
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm213-3-4/
DO  - 10.4064/sm213-3-4
LA  - en
ID  - 10_4064_sm213_3_4
ER  - 
%0 Journal Article
%A Fernando Cobos
%A Alba Segurado
%T Limiting real interpolation methods for
 arbitrary Banach couples
%J Studia Mathematica
%D 2012
%P 243-273
%V 213
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm213-3-4/
%R 10.4064/sm213-3-4
%G en
%F 10_4064_sm213_3_4
Fernando Cobos; Alba Segurado. Limiting real interpolation methods for
 arbitrary Banach couples. Studia Mathematica, Tome 213 (2012) no. 3, pp. 243-273. doi: 10.4064/sm213-3-4

Cité par Sources :