Fubini's Theorem for Ultraproducts of Noncommutative Lp-Spaces
2004 ◽
Vol 56
(5)
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pp. 983-1021
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Keyword(s):
AbstractLet (ℳi)i∈I, be families of von Neumann algebras and be ultrafilters in I, J, respectively. Let 1 ≤ p < ∞ and n ∈ ℕ. Let x1,… ,xn in ΠLp(ℓi ) and y1,… ,yn in be bounded families. We show the following equalityFor p = 1 this Fubini type result is related to the local reflexivity of duals of C*-algebras. This fails for p = ∞.
Keyword(s):
2002 ◽
Vol 132
(1)
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pp. 137-154
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2000 ◽
Vol 331
(9)
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pp. 691-695
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1982 ◽
Vol 34
(5)
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pp. 1208-1214
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Keyword(s):
Keyword(s):
1981 ◽
Vol 33
(6)
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pp. 1319-1327
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