most citedComplemented Subspaces of L_p Determined by Partitions and Weights

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math.FA2003

Subspaces of L_p, p>2, with unconditional basis have equivalent partition and weight norms

Dale Alspach, Simei Tong

In this note we give a simple proof that every subspace of L_p, 2<p<infinity, with an unconditional basis has an equivalent norm determined by partitions and weights. Consequently…

math.FA2002★ 1 cited

Complemented Subspaces of L_p Determined by Partitions and Weights

Dale Alspach, Simei Tong

Many of the known complemented subspaces of L_p have realizations as sequence spaces. In this paper a systematic approach to defining these spaces which uses partitions and weights…