Compression functions of uniform embeddings of groups into Hilbert and Banach spaces
We construct finitely generated groups with arbitrary prescribed Hilbert space compression \alpha from the interval [0,1]. For a large class of Banach spaces E (including all uniformly convex Banach spaces), the E-compression of these groups coincides with their Hilbert space compression. Moreover,...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
2006
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