Publication: Abstract limit J-spaces
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2010
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Oxford University Press
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Abstract
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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