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Multi-norms and injectivity of L^p(G)

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Multi-norms and injectivity of L^p(G). / Dales, H. Garth; Daws, M.; Pham, H. L. ; Ramsden, P.

In: Journal of the London Mathematical Society, Vol. 86, No. 3, 2012, p. 779-809.

Research output: Contribution to journalJournal article

Harvard

Dales, HG, Daws, M, Pham, HL & Ramsden, P 2012, 'Multi-norms and injectivity of L^p(G)', Journal of the London Mathematical Society, vol. 86, no. 3, pp. 779-809. https://doi.org/10.1112/jlms/jds026

APA

Dales, H. G., Daws, M., Pham, H. L., & Ramsden, P. (2012). Multi-norms and injectivity of L^p(G). Journal of the London Mathematical Society, 86(3), 779-809. https://doi.org/10.1112/jlms/jds026

Vancouver

Dales HG, Daws M, Pham HL, Ramsden P. Multi-norms and injectivity of L^p(G). Journal of the London Mathematical Society. 2012;86(3):779-809. https://doi.org/10.1112/jlms/jds026

Author

Dales, H. Garth ; Daws, M. ; Pham, H. L. ; Ramsden, P. / Multi-norms and injectivity of L^p(G). In: Journal of the London Mathematical Society. 2012 ; Vol. 86, No. 3. pp. 779-809.

Bibtex

@article{c73fc219018a4482b4e691a2ef507a06,
title = "Multi-norms and injectivity of L^p(G)",
abstract = "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.",
keywords = "injectivity",
author = "Dales, {H. Garth} and M. Daws and Pham, {H. L.} and P. Ramsden",
year = "2012",
doi = "10.1112/jlms/jds026",
language = "English",
volume = "86",
pages = "779--809",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "3",

}

RIS

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 -