RT Journal Article
T1 On a problem of Lions concerning real interpolation spaces. The quasi-Banach case
A1 Cobos Díaz, Fernando
A1 Cwikel, M.
A1 Kühn, Thomas
AB We prove that, under a mild condition on a couple (A0;A1) of quasi-Banach spaces, all real interpolation spaces (A0;A1)θ,p with 0 < θ < 1 and 0 < p ≤ ∞ are different from each other. In the Banach case and for 1 ≤ p ≤ ∞ this was shown by Janson, Nilsson, Peetre and Zafran, thus solving an old problem posed by J.-L. Lions. Moreover, we give an application to certain spaces which are important objects in Operator Theory and which consist of bounded linear operators whose approximation numbers belong to Lorentz sequence spaces.
PB Elsevier
SN 0022-247X
YR 2022
FD 2022-08-28
LK https://hdl.handle.net/20.500.14352/71924
UL https://hdl.handle.net/20.500.14352/71924
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2022)
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 11 may 2025