Geometric properties of some subspaces of $\textrm {VN}(G)$
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- by Alain Belanger and Brian E. Forrest PDF
- Proc. Amer. Math. Soc. 122 (1994), 131-133 Request permission
Abstract:
Let G be a locally compact group. We show that any one of the spaces $UCB(\hat G),WAP(\hat G),AP(\hat G)$, and $C_\delta ^ \ast (G)$ is Asplund if and only if the group G is finite. We also show that any one of the spaces $VN(G),UCB(\hat G)$, and $C_\delta ^\ast (G)$ has the DPP if and only if the group G has an abelian subgroup of finite index.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 131-133
- MSC: Primary 22D25; Secondary 43A35, 43A60, 46B20, 46L99
- DOI: https://doi.org/10.1090/S0002-9939-1994-1211577-8
- MathSciNet review: 1211577