Abstract
In the previous chapters the spaces ℓ p (1 ≤ p < ∞) and c 0 played a pivotal role in the development of the theory. This suggests that we should ask when we can embed one of these spaces in an arbitrary Banach space. For c 0 we have a complete answer: c 0 embeds into X if and only if X contains a WUC series that is not unconditionally convergent (Theorem 2.4.11).
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Albiac, F., Kalton, N.J. (2016). ℓ p -Subspaces of Banach Spaces. In: Topics in Banach Space Theory. Graduate Texts in Mathematics, vol 233 . Springer, Cham. https://doi.org/10.1007/978-3-319-31557-7_11
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DOI: https://doi.org/10.1007/978-3-319-31557-7_11
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