It is shown that for each separable Banach space X not admitting ℓ 1 as a spreading model there is a space Y having X as a quotient and not admitting any ℓ p for 1 ≤ p < ∞ or c 0 as a spreading model. We also include the solution to a question of Johnson and Rosenthal (Studia Math 43:77–92, 1972) on the existence of a separable space not admitting as a quotient any space with separable dual.
Positivity – Springer Journals
Published: Feb 22, 2012
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