Lower estimates of random unconditional constants of Walsh-Paley martingales with values in banach spaces

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dc.creatorGeiss, Stefan
dc.date1992-02-28
dc.date.accessioned2026-07-07T09:14:45Z
dc.date.available2026-07-07T09:14:45Z
dc.descriptionFor a Banach space X we define RUMD_n(X) to be the infimum of all c>0 such that (AVE_{ε_k =\pm 1} || \sum_1^n epsilon_k (M_k - M_{k-1} )||_{L_2^X}^2 )^{1/2} <= c || M_n ||_{L_2^X} holds for all Walsh-Paley martingales {M_k}_0^n subset L_2^X with M_0 =0. We relate the asymptotic behaviour of the sequence {RUMD(X)}_{n=1}^{infinity} to geometrical properties of the Banach space X such as K-convexity and superreflexivity.
dc.identifierhttps://arxiv.org/abs/math/9202203
dc.identifierhttp://arxiv.org/abs/math/9202203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152785
dc.subjectFunctional Analysis
dc.titleLower estimates of random unconditional constants of Walsh-Paley martingales with values in banach spaces
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