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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-4,
author = {Fernando Cobos and Alba Segurado},
title = {Limiting real interpolation methods for arbitrary Banach couples},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {243-273},
zbl = {1276.46010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-4}
}
Fernando Cobos; Alba Segurado. Limiting real interpolation methods for arbitrary Banach couples. Studia Mathematica, Tome 209 (2012) pp. 243-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-4/