Abstract
This chapter is devoted to the study of an embedding result due to Bourgain and Pisier [BP]. The main goal in the Bourgain–Pisier construction is to embed isometrically a given separable Banach space X into a separable L ∞-space Y (i.e., into a Banach space with prescribed local structure) in such a way that the quotient Y/X is “small.”
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© 2010 Springer-Verlag Berlin Heidelberg
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Dodos, P. (2010). The Bourgain–Pisier Construction. In: Banach Spaces and Descriptive Set Theory: Selected Topics. Lecture Notes in Mathematics(), vol 1993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12153-1_6
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DOI: https://doi.org/10.1007/978-3-642-12153-1_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12152-4
Online ISBN: 978-3-642-12153-1
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