On spaces admitting no ℓp or c0 spreading model

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

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2013-06, Vol.17 (2), p.265-282
Main Authors: Argyros, Spiros A., Beanland, Kevin
Format: Article
Language:English
Subjects:
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
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Description
Summary: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
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-012-0165-9