A note on natural tensor products containing complemented copies of \(c_0\)

zbMath0893.46005MaRDI QIDQ1356824

Juan A. López Molina, Maria José Rivera

Publication date: 24 August 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1996__96__105_0

zbMATH Keywords

tensor productFréchet latticecomplemented subspace isomorphic to \(c_0\)unit basis

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) Spaces of linear operators; topological tensor products; approximation properties (46A32)

Cites Work

• Some properties of the vector-valued Banach ideal space \(E(X)\) derived from those of \(E\) and \(X\)
• Normed lattices
• Banach lattices of compact maps
• On Complemented Copies of c 0 in L p X , 1 ≤p < ∞
• C(K, E) Contains a Complemented Copy of c 0
• Extensions and Liftings of Positive Linear Mappings on Banach Lattices
• Complemented Copies of c 0 in L ∞ (μ, E)
• Produits tensoriels d'espaces de Banach et classes d'applications linéaires
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