Spaces of Operators Between Frechet Spaces

José Bonet, Mikael Lindström

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)

Abstract

Motivated by recent results on the space of compact operators between Banach spaces and by extensions of the Josefson-Nissenzweig theorem to Frechet spaces, we investigate pairs of Frechet spaces (E,F) such that every continuous linear map from E into F is Montel, i.e. it maps bounded subsets of E into relatively compact subsets of F. As a consequence of our results we characterize pairs of Kothe echelon spaces (E,F) such that the space of Montel operators from E into F is complemented in the space of all continuous linear maps from E into F.

Original languageEnglish
Pages (from-to)133-144
Number of pages12
JournalMathematical Proceedings
Volume115
Issue number1
DOIs
Publication statusPublished - Jan 1994
MoE publication typeA1 Journal article-refereed

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