Abstract
Let K be a non-archimedean valued field whose valuation is complete and nontrivial. It is shown that ℓ∞ is complemented in any polar K-Banach space (Theorem 1.2) which opens the way for various descriptions of complemented subspaces of ℓ∞ (Theorem 2.3).
Keywords
- Closed Subspace
- Weak Topology
- Closed Unit Ball
- Countable Type
- Complementation Property
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References
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© 1990 Springer-Verlag
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Schikhof, W.H. (1990). The complementation property of ℓ∞ in p-adic banach spaces. In: Baldassarri, F., Bosch, S., Dwork, B. (eds) p-adic Analysis. Lecture Notes in Mathematics, vol 1454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091148
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DOI: https://doi.org/10.1007/BFb0091148
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