RT Journal Article
T1 Interpolation of Compact-Operators: The Multidimensional Case
A1 Cobos Díaz, Fernando
A1 Peetre, Jaak
AB We investigate how compact operators behave under J and K interpolation methods for N spaces and two parameters. First we study those methods: relationship with those already existing in the literature, estimates for the norms of interpolated operators, examples, characterization as Aronszajn-Gagliardo functors,.... We also describe the relationship between Sparr and Fernandez methods and we derive sharp estimates for the norms of interpolated operators in Fernandez' case. Then we investigate the behaviour of compact operators. We begin with the case when one of the N-tuples reduces to a single Banach space, and later we treat the general case by means of the approach developed in [8].
PB London Mathem. Society
SN 0024-6115
YR 1991
FD 1991
LK https://hdl.handle.net/20.500.14352/57322
UL https://hdl.handle.net/20.500.14352/57322
DS Docta Complutense
RD 18 sept 2024