%0 Journal Article
%A Cobos Díaz, Fernando
%A Fernández-Cabrera Marín, Luz María
%A Mastylo, Mieczyslaw
%T Abstract limit J-spaces
%D 2010
%@ 0024-6107
%U https://hdl.handle.net/20.500.14352/42123
%X 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.
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