Abstract
In this chapter, we show that analyticity is not a three-space property. We prove, however, that a metrizable tvs E is analytic if it contains a complete locally convex analytic subspace F such that the quotient E/F is analytic. We reprove (using Corson’s example) that the Lindelöf property is not a three-space property.
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© 2011 Springer Science+Business Media, LLC
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Kąkol, J., Kubiś, W., López-Pellicer, M. (2011). A Three-Space Property for Analytic Spaces. In: Descriptive Topology in Selected Topics of Functional Analysis. Developments in Mathematics, vol 24. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-0529-0_8
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DOI: https://doi.org/10.1007/978-1-4614-0529-0_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-0528-3
Online ISBN: 978-1-4614-0529-0
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