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- W2330793025 abstract "Abstract The non-archimedean power series spaces, A 1 ( a ) and A ∞( b ), are the best known and most important examples of non-archimedean nuclear Fréchet spaces. We prove that the range of every continuous linear map from A p ( a ) to A q ( b ) has a Schauder basis if either p = 1 or p = ∞ and the set M b , a of all bounded limit points of the double sequence ( b i / aj ) i , j ∈ℕ is bounded. It follows that every complemented subspace of a power series space A p ( a ) has a Schauder basis if either p = 1 or p = ∞ and the set M a , a is bounded." @default.
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- W2330793025 date "2011-10-18" @default.
- W2330793025 modified "2023-09-23" @default.
- W2330793025 title "On Complemented Subspaces of Non-Archimedean Power Series Spaces" @default.
- W2330793025 doi "https://doi.org/10.4153/cjm-2011-018-0" @default.
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