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- W2902884927 abstract "In this note we prove that the Kalton interlaced graphs do not equi-coarsely embed into the James space $mathcal J$ nor into its dual $mathcal J^*$. It is a particular case of a more general result on the non equi-coarse embeddability of the Kalton graphs into quasi-reflexive spaces with a special asymptotic stucture. This allows us to exhibit a coarse invariant for Banach spaces, namely the non equi-coarse embeddability of this family of graphs, which is very close to but different from the celebrated property $mathcal Q$ of Kalton. We conclude with a remark on the coarse geometry of the James tree space $mathcal J mathcal T$ and of its predual." @default.
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- W2902884927 date "2019-12-16" @default.
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- W2902884927 title "On the Coarse Geometry of James Spaces" @default.
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- W2902884927 doi "https://doi.org/10.4153/s0008439519000535" @default.
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