An abstract theorem establishes preservation of compactness for linear operators under Banach space interpolation via reductio ad absurdum on subspaces and embedding operators only.
Singer, Bases in Banach spaces, V ol
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A new approach to interpolation of compact linear operators
An abstract theorem establishes preservation of compactness for linear operators under Banach space interpolation via reductio ad absurdum on subspaces and embedding operators only.