Limiting real interpolation methods for arbitrary Banach couples

Fernando Cobos, and Alba Segurado. "Limiting real interpolation methods for arbitrary Banach couples." Studia Mathematica 213.3 (2012): 243-273. <http://eudml.org/doc/285736>.

@article{FernandoCobos2012,
abstract = {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.},
author = {Fernando Cobos, Alba Segurado},
journal = {Studia Mathematica},
keywords = {-functional; -functional; limiting real interpolation; compact operators; Lorentz-Zygmund function spaces},
language = {eng},
number = {3},
pages = {243-273},
title = {Limiting real interpolation methods for arbitrary Banach couples},
url = {http://eudml.org/doc/285736},
volume = {213},
year = {2012},
}

TY - JOUR
AU - Fernando Cobos
AU - Alba Segurado
TI - Limiting real interpolation methods for arbitrary Banach couples
JO - Studia Mathematica
PY - 2012
VL - 213
IS - 3
SP - 243
EP - 273
AB - 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.
LA - eng
KW - -functional; -functional; limiting real interpolation; compact operators; Lorentz-Zygmund function spaces
UR - http://eudml.org/doc/285736
ER -