Radon--Nikodym property for the projective tensor product of Köthe function spaces

DOI10.1016/j.jmaa.2003.12.019zbMath1054.46015OpenAlexW2064257373MaRDI QIDQ1827075

Qingying Bu, Pei-Kee Lin

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.019

Mathematics Subject Classification ID

Radon-Nikodým, Kre?n-Milman and related properties (46B22) Tensor products in functional analysis (46M05)

Related Items (6)

Representation of \(L^q(\mu)\hat {\otimes} X\) by vector-valued function spaces ⋮ Applications of semi-embeddings to the study of the projective tensor product of Banach spaces ⋮ Weighted composition operators induced by strongly measurable functions ⋮ Some properties of the injective tensor product of Banach spaces ⋮ Injective composition operators on Lorentz–Bochner spaces ⋮ Schauder decompositions and the Fremlin projective tensor product of Banach lattices

Cites Work

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• Applications of the theory of semi-embeddings to Banach space theory
• Radon-Nikodym property in Banach spaces of measurable vector-functions
• Extremity in Köthe-Bochner function spaces
• Stability of some types of Radon-Nikodým properties
• The Radon-Nikodym Property for Spaces of Operators
• Observations About the Projective Tensor Product of Banach Spaces, II — L^p(0, 1) ⊗X, 1 <p< ∞
• A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
• L p (μ, X) (1 < p < ∞) Has the Radon-Nikodym Property if X does by Martingales
• OBSERVATIONS ABOUT THE PROJECTIVE TENSOR PRODUCT OF BANACH SPACES, I—
• Observations About the Projective Tensor Product of Banach Spaces, Iii – L^P[0, 1 ⊗ X, 1 < P < ∞]

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