Tensor products of several spaces and nuclearity

DOI10.1007/BF01450699zbMath0537.46057OpenAlexW2043350419MaRDI QIDQ792596

Kamil John

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/163938

zbMATH Keywords

characterizations of nuclearity in terms of tensor productsideals of multilinear operatorsTensor products of several locally convex spaces

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) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

The Schur property on projective and injective tensor products, The Segre cone of Banach spaces and multilinear mappings, Operators whose tensor powers are $\varepsilon$-$\pi$-continuous, Extension of polynomials and John’s theorem for symmetric tensor products

Cites Work

• On a tensor product characterization of nuclearity
• Counterexamples to a conjecture of Grothendieck
• On tensor product characterization of nuclear spaces
• Tensor products of sequences, functions, and operators
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