Limiting real interpolation methods for arbitrary Banach couples
Volume 213 / 2012
Studia Mathematica 213 (2012), 243-273
MSC: Primary 46B70; Secondary 46E30, 46E35.
DOI: 10.4064/sm213-3-4
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.
