J-凸Banach空间的齐性特征 |
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摘 要: | 给出Banach空间X成为J-凸空间的齐性条件,并且利用它去证明X是超自反的当且仅当Lebesuue-Bochner函数空间Lp(μ,X)是超自反的,其中P>1是固定的实数。
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关 键 词: | Banach空间 J-凸性 超自反性 Lebesque-Bochner函数空间 |
Homogeneous Characterization of J-Convex Banach Spaces |
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Authors: | Liu Zheng |
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Institution: | Dept. of Mathematics and Physics |
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Abstract: | A Homogeneous characterization of J--convexity is obtained and is used to prove that aBanach space X is super--reflexive if and only if Lebesque--Bochner function space LP(P, X) issuper--reflexive,where P > 1 is a fixed real number. |
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