Characterizations of pairs (E; F) of complete (LF)–spaces such that every continuous linear map from E to F maps a 0–neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)–spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Onal, T. Terzioglu and D. Vogt.
Bounded linear maps between (LF)-spaces
ALBANESE, Angela Anna
2003-01-01
Abstract
Characterizations of pairs (E; F) of complete (LF)–spaces such that every continuous linear map from E to F maps a 0–neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)–spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Onal, T. Terzioglu and D. Vogt.File in questo prodotto:
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