RT Journal Article
T1 Interpolation and extrapolation of strictly singular operators between L-p spaces
A1 Hernández, Francisco L.
A1 Semenov, E. M.
A1 Tradacete, P.
AB We study the interpolation and extrapolation properties of strictly singular operators between different Lp spaces. To this end, the structure of strictly singular non-compact operators between L-p Lq spaces is analyzed. Among other things, we clarify the relation between strict singularity and the L-characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators. (C) 2017 Elsevier Inc.
PB Elsvier
SN 0001-8708
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/18108
UL https://hdl.handle.net/20.500.14352/18108
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid
NO Russian grant
DS Docta Complutense
RD 7 abr 2025