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Barrelledness and nuclearity

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Publication:791821
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DOI10.1007/BF01194081zbMath0536.46001MaRDI QIDQ791821

Andreas Defant

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

Schwartz spacesKöthe sequence spacesbaralledness of the injective tensor product


Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Tensor products in functional analysis (46M05)


Related Items (1)

A generalization of a theorem of A. Grothendieck




Cites Work

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  • Barrelledness of the space of vector valued and simple functions
  • On a tensor product characterization of nuclearity
  • Counterexamples to a conjecture of Grothendieck
  • Tensor products and spaces of vector-valued continuous functions




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