A characterization of quasinormable Köthe sequence spaces
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- by M. Ángeles Miñarro PDF
- Proc. Amer. Math. Soc. 123 (1995), 1207-1212 Request permission
Abstract:
Let E be a quasinormable Fréchet space. We prove that every quotient map $q:E \to X$ with X Banach lifts bounded sets. Moreover, we show that this property characterizes the quasinormability of E in case that E is a Köthe sequence space of order p, $1 \leq p < \infty$ or $p = 0$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1207-1212
- MSC: Primary 46A04; Secondary 46A11, 46A45, 46B25, 46M20, 47B07
- DOI: https://doi.org/10.1090/S0002-9939-1995-1227526-3
- MathSciNet review: 1227526