Complex Interpolation of Compact Operators Mapping into Lattice Couples

@inproceedings{CwikelComplexIO,
  title={Complex Interpolation of Compact Operators Mapping into Lattice Couples},
  author={Michael Cwikel}
}
Suppose that (A 0 , A 1) and (B 0 , B 1) are Banach couples, and that T is a linear operator which maps A 0 compactly into B 0 and A 1 boundedly (or even compactly) into B 1. Does this imply that T : [A 0 , A 1 ] θ → [B 0 , B 1 ] θ compactly? (Here, as usual, [A 0 , A 1 ] θ denotes the complex interpolation space of Alberto Calderón.) This question has been… CONTINUE READING

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