ar X iv : m at h / 98 11 14 5 v 1 [ m at h . FA ] 2 4 N ov 1 99 8 UNIQUENESS OF UNCONDITIONAL BASES IN c 0 − PRODUCTS

نویسندگان

  • P. G. Casazza
  • N. J. Kalton
چکیده

We give counterexamples to a conjecture of Bourgain, Casazza, Lin-denstrauss and Tzafriri that if X has a unique unconditional basis (up to permutation) then c 0 (X) also has a unique unconditional basis. We also give some positive results including a simpler proof that c 0 (ℓ 1) has a unique unconditional basis and a proof that c 0 (ℓ N n p n) has a unique unconditional basis when p n ↓ 1, N n+1 ≥ 2N n and (p n − p n+1) log N n remains bounded.

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تاریخ انتشار 1998