Abstract
In this chapter, we introduce the notion of p-complete boundedness for \(1 \leq p < \infty\). The case p = 2 is the classical one, presented above in chapter 3. In this setting, we extend the fundamental factorization of c.b. maps. We show that the extension property still holds under suitable assumptions. Finally, we apply these results to the similarity problem for homomorphisms in this broader framework.
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© 2001 Springer-Verlag Berlin/Heidelberg
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Pisier, G. (2001). 8. Completely bounded maps in the Banach space setting. In: Similarity Problems and Completely Bounded Maps. Lecture Notes in Mathematics, vol 1618. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44563-0_9
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DOI: https://doi.org/10.1007/978-3-540-44563-0_9
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41524-4
Online ISBN: 978-3-540-44563-0
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