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Holomorphic maps of discs into balls of lp-spaces
Published online by Cambridge University Press: 24 October 2008
Abstract
Let 1 ≤ p < ∞, let be the open unit ball of lp and let Δ be the open unit disc in ℂ. We prove that there is a holomorphic map such that F(Δ) is dense in and such that whenever .
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 123 - 133
- Copyright
- Copyright © Cambridge Philosophical Society 1986