Finite Representability of ℓp in Quotients of Banach Spaces

Finite Representability of ℓp in Quotients of Banach Spaces 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

Finite Representability of ℓp in Quotients of Banach Spaces

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Kluwer Academic Publishers
Copyright © 2001 by Kluwer Academic Publishers
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
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