Dales, HG, Daws, M, Ramsden, P et al. (1 more author)
(2012)
Multi-norms and the injectivity of L-p(G).
Journal of the London Mathematical Society, 86 (3).
779 - 809.
ISSN 0024-6107
Abstract
Let G be a locally compact group, and take p∈(1, ∞). We prove that the Banach left L 1(G)-module L p(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.
Metadata
Authors/Creators:
Dales, HG
Daws, M
Ramsden, P
Pham, HL
Copyright, Publisher and Additional Information:
(c) 2012, Oxford University Press. This is an author produced version of a paper published in the Journal of the London Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy
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