Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Multi-norms and injectivity of L^p(G)
AU - Dales, H. Garth
AU - Daws, M.
AU - Pham, H. L.
AU - Ramsden, P.
PY - 2012
Y1 - 2012
N2 - Let G be a locally compact group, and take p∈(1, ∞). We prove that the Banach left L1(G)-module Lp(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.
AB - Let G be a locally compact group, and take p∈(1, ∞). We prove that the Banach left L1(G)-module Lp(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.
KW - injectivity
U2 - 10.1112/jlms/jds026
DO - 10.1112/jlms/jds026
M3 - Journal article
VL - 86
SP - 779
EP - 809
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
SN - 0024-6107
IS - 3
ER -