Unconditional martingale difference sequences in Banach spaces

For a Banach space Y , the question of whether Lp(μ,Y ) has an unconditional basis if 10 so that i,j∈N (αij yj )di Lp(μ,Y ) K i,j∈N αij yj di Lp(μ) holds for every sequence (yj ) ⊂ Y and every choice of finitely supported scalars (αij ). © 2006 Elsevier Inc. All rights reserved.