A typical result of the paper states that if X is a Banach space with a basis and for some 1≤p≤q≤∞, the spaces ℓp and ℓq are finitely block representable in every block subspace of X, then every block subspace of X admits a block quotient Z such that for every rℓ[p,q], the space ℓr is finitely block representable in Z. Results of a similar nature are also established for ℓN p-block-sequences and asymptotic spaces.
Positivity – Springer Journals
Published: Oct 3, 2004
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