RUC-systems and Besselian systems in Banach spaces
1989 ◽
Vol 106
(1)
◽
pp. 163-168
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Keyword(s):
Let (rj) be a Rademacher sequence of random variables – that is, a sequence of independent random variables, with , for each j. A biorthogonal system in a Banach space X is called an RUC-system[l] if for every x in [ej] (the closed linear span of the vectors ej), the seriesconverges for almost every ω. A basis which, together with its coefficient functionals, forms an RUC-system is called an RUC-basis. A biorthogonal system is an RLTC-svstem if and only if there exists 1 ≤ K < ∞ such thatfor each x in [ej]: the RUC-constant of the system is the smallest constant K satisfying (1) (see [1], proposition 1.1).
1991 ◽
Vol 14
(2)
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pp. 381-384
Keyword(s):
1969 ◽
Vol 21
◽
pp. 1206-1217
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Keyword(s):
1979 ◽
Vol 2
(2)
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pp. 309-323
1972 ◽
Vol 15
(3)
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pp. 369-372
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Keyword(s):
Keyword(s):
1979 ◽
Vol 18
(4)
◽
pp. 453-458
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Keyword(s):
1974 ◽
Vol 76
(1)
◽
pp. 157-159
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Keyword(s):
1968 ◽
Vol 64
(2)
◽
pp. 485-488
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