Multi-norms and the injectivity of Lp(G)
نویسندگان
چکیده
Let G be a locally compact group, and take p ∈ (1,∞). We prove that the Banach left L(G)module L(G) is injective (if and) only if the group G is amenable. Our proof uses the notion of multi-norms. We also develop the theory of multi-normed spaces.
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ورودعنوان ژورنال:
- J. London Math. Society
دوره 86 شماره
صفحات -
تاریخ انتشار 2012