Applications of semi-embeddings to the study of the projective tensor product of Banach spaces

zbMath1292.46011MaRDI QIDQ2441065

Qingying Bu

Publication date: 21 March 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1391178552

zbMATH Keywords

Banach latticesRadon-Nikodým propertyisomorphic copies of \(c_0\)projective tensor product of Banach spaces

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Tensor products in functional analysis (46M05)

Cites Work

• Applications of the theory of semi-embeddings to Banach space theory
• Martingales valued in certain subspaces of \(L^1\)
• Duality in some vector-valued function spaces
• Radon--Nikodym property for the projective tensor product of Köthe function spaces
• The analytic complete continuity property
• Complete continuity properties of Banach spaces associated with subsets of a discrete abelian group
• The Radon-Nikodym Property for Spaces of Operators
• Principle of local reflexivity revisited
• A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
• The Analytic Radon-Nikodym Property in Lebesgue Bochner Function Spaces
• Nearly Representable Operators
• Radon-Nikodym Properties Associated with Subsets of Countable Discrete Abelian Groups
• Semi-embeddings of Banach space
• Banach Spaces with Complete Continuity Properties
• Stability of Banach Space Properties In The Projective Tensor Product
• Some properties of the projective tensor product UX derived from those of U and X

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