Grothendieck spaces and duals of injective tensor products

P. Domański, M. Lindström

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)


Let E and F be Fréchet spaces. We prove that if E is reflexive, then the strong bidual (E ⊗̂εF)″b is a topological subspace of Lb(E′b, F″b). We also prove that if, moreover, E is Montel and F has the Grothendieck property, then E ⊗̂εF has the Grothendieck property whenever either E or F″b has the approximation property. A similar result is obtained for the property of containing no complemented copy of c0.
Original languageSwedish
Pages (from-to)617-626
Number of pages10
JournalBulletin of the London Mathematical Society
Issue number6
Publication statusPublished - 1996
MoE publication typeA1 Journal article-refereed

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