RT Journal Article
T1 Abstract limit J-spaces
A1 Cobos Díaz, Fernando
A1 Fernández-Cabrera Marín, Luz María
A1 Mastylo, Mieczyslaw
AB We investigate the limit J-spaces corresponding to the general real method. These interpolation spaces are defined by Banach sequence lattices and include those spaces that arise by the choice θ = 0 in the definition of the real method. We pay especial attention to spaces generated by rearrangement-invariant sequence spaces. We establish necessary and sufficient conditions for compactness of interpolated operators between limit J-spaces. We also study the relationships between J- and K-spaces and we derive some interpolation formulae for notable couples of function spaces, couples of spaces of operators and also couples of sequence spaces.
PB Oxford University Press
SN 0024-6107
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42123
UL https://hdl.handle.net/20.500.14352/42123
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Universidad Complutense de Madrid/Banco de Santander
NO State Committee for Scientific Research (Polonia)
DS Docta Complutense
RD 17 abr 2025