Unconditional bases and martingales in LP(F)

DOI10.1017/S0305004100055559zbMath0389.46027MaRDI QIDQ4171143

David J. Aldous

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Martingales and classical analysis (60G46)

Related Items (20)

Unconditional Schauder decompositions and stopping times in the Lebesgue-Bochner spaces ⋮ Banach-Saks property in Marcinkiewicz spaces ⋮ Unconditional martingale difference sequences in Banach spaces ⋮ Continuity of operators in spaces of vector functions, with applications to the theory of bases ⋮ Quantitative Hahn-Banach theorems and isometric extensions for wavelet and other Banach spaces ⋮ Weakly stable Banach spaces and the Banach-Saks properties ⋮ Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs. ⋮ Primarité de \(L^ p(L^ r)\), \(1<p,r<\infty\) ⋮ Delta-semidefinite and delta-convex quadratic forms in Banach spaces ⋮ Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator ⋮ On weighted \(L_p\)-spaces of vector-valued entire analytic functions ⋮ On the UMD constants for a class of iterated \(L_p(L_q)\) spaces ⋮ Operator ergodic theory for one-parameter decomposable groups ⋮ Quantitative affine approximation for UMD targets ⋮ Open problems in Banach spaces and measure theory ⋮ Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates ⋮ A nonlinear partial differential equation and the unconditional constant of the Haar system in 𝐿^{𝑝} ⋮ Some remarks on Banach spaces in which martingale difference sequences are unconditional ⋮ A counterexample concerning the relation between decoupling constants and UMD-constants ⋮ On the dual space of \(H^ p(X)\), \(1<p<\infty \)

Cites Work

• Martingales with values in uniformly convex spaces
• A Remarkable Series of Orthogonal Functions (I)
• Unnamed Item

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