RT Journal Article
T1 On compactness theorems for logarithmic interpolation methods
A1 Besoy, Blanca F.
AB Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 < q <= ∞ and T a linear operator. We prove that if T : A0 -> B0 is bounded and T : A1 -> B1 is compact, then the interpolated operator by the logarithmic method T : (A0,A1)1;q;A -> (B0;B1)1;q;A is compact too. This result allows the extension of some limit variants of Krasnosel'skii's compact interpolation theorem.
PB Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics)
SN 0137-6934
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/13541
UL https://hdl.handle.net/20.500.14352/13541
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)/FEDER
NO Ministerio de Educación, Cultura y Deporte
DS Docta Complutense
RD 17 abr 2025