ISOMORPHISM BETWEEN THE ASSOCIATIVE AND NON-ASSOCIATIVE L_P-SPACES OF TYPE ll_1 HYPERFINITE FACTORS

摘要

We prove that for each p e [1, oo] the non-associative Lp-space associated with any type II t hyper-finite JW-factor is isomorphic to the non-commutative Lp-space associated with the type Hi hyperfinite factor.