Espaces de Banach stables
Espaces de Banach stables
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DOI：
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发表时间：
1981
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通讯作者：
B. Maurey
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作者：
J. Krivine;B. Maurey
We define the notion of “stable Banach space” by a simple condition on the norm. We prove that ifE is a stable Banach space, then every subspace ofLp(E) (1≦p<∞) is stable. Our main result asserts that every infinite dimensional stable Banach space containslp, for somep, 1≦p<∞. This is a generalization of a theorem due to D. Aldous: every infinite dimensional subspace ofL1 containslp, for somep in the interval [1, 2].
