Counterexample to a conjecture of Grothendieck

DOI10.1007/BF01460797zbMath0506.46053OpenAlexW2007893870WikidataQ123245385 ScholiaQ123245385MaRDI QIDQ1836854

Kamil John

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163819

zbMATH Keywords

tensor productcontinuous bilinear formshilbertisable Frechet Schwartz non nuclear spacesprojective and injective topology

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Tensor products in functional analysis (46M05)

Related Items (2)

On the equality of injective and projective tensor products ⋮ Bilinear forms and nuclearity

Cites Work

• On a tensor product characterization of nuclearity
• Counterexamples to a conjecture of Grothendieck
• Weyl numbers and eigenvalues of operators in Banach spaces
• On tensor product characterization of nuclear spaces
• Produits tensoriels topologiques et espaces nucléaires
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