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Operators between subspaces and quotients of L^1

Operators between subspaces and quotients of L^1

We provide an unified approach of results of L. Dor on the complementation of the range, and of D. Alspach on the nearness from isometries, of small intoisomorphisms of L 1 .We introduce the notion of small subspace of L 1 , and show lifting theorems for operators between quotients …