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Small into isomorphisms on $L_{p}$ spaces

Small into isomorphisms on $L_{p}$ spaces

Recently, Y. Benyamini proved that an isomorphism T of C(K), K compact metric, into some C(S), S compact Hausdorf is close to an isometry if IITIIIIT-II is close to one [3].In this paper we show that a similar result holds for isomorphisms of Lp(/x) into Lp(u).The method of proof is …