科研之友
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摘要
We give a simple example of a countable metric graph M such that M Lipschitz embeds with distortion strictly less than 2 into a Banach space X only if X contains an isomorphic copy of l(1). Further we show that, for each ordinal alpha < omega(1), the space C([0, omega(alpha)]) does not Lipschitz embed into C(K) with distortion strictly less than 2 unless K-(alpha) not equal empty set. Also C([0, omega(omega alpha)]) does not Lipschitz embed into a Banach space X with distortion strictly less than 2 unless Sz(X) >= omega(a+1).
- 出版日期2017-6
