On complemented subspaces of non-Archimedean generalized power series spaces
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2016
paper
english
- non-Archimedean Köthe space
- range of a continuous linear map
- Schauder basis
EN The non-Archimedean generalized power series spaces Df (a, r) are important examples of non-Archimedean nuclear Köthe spaces. We prove that for some pairs (Df (a, r), Df (b, r)) of these spaces the range of every continuous linear map from Df (a, r) to Df (b, r) has a Schauder basis. It follows that every complemented subspace of some non-Archimedean generalized power series spaces Df (a, r) has a Schauder basis.
327 - 335
WoS (15)