Unconditional martingale difference sequences in Banach spaces

DOI10.1016/j.jmaa.2006.03.061zbMath1139.46012OpenAlexW2003641466MaRDI QIDQ865342

Stuart F. Cullender, Coenraad C. A. Labuschagne

Publication date: 14 February 2007

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.2006.03.061

zbMATH Keywords

unconditional basisabstract martingale difference sequenceBochner \(L^p\)-spacetensor product of Banach lattices

Mathematics Subject Classification ID

Banach lattices (46B42) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Tensor products in functional analysis (46M05)

Related Items (1)

Unconditional Schauder decompositions and stopping times in the Lebesgue-Bochner spaces

Cites Work

• Bases of tensor products of Banach spaces
• Martingales in Banach lattices
• A description of norm-convergent martingales on vector-valued \(L^p\)-spaces
• Banach lattices
• Monotone bases in \(L_p\)
• Banach lattices of compact maps
• Martingale Transforms
• Unconditional bases and martingales in L_P(F)
• A Remarkable Series of Orthogonal Functions (I)
• The Metric Theory of Tensor Products (Grothendieck's Résumé Revisited) Part 1: Tensor Norms
• Characterizing the one-sided tensor norms Δ_Pand^TΔ_P
• Tensor Products of Archimedean Vector Lattices
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