A Non-abelian, Non-Sidon, Completely Bounded $\Lambda (p)$ Set
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 1-7
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The purpose of this note is to construct an example of a discrete non-abelian group G and a subset E of G, not contained in any abelian subgroup, that is a completely bounded $\Lambda (p)$ set for all $p<\infty ,$ but is neither a Leinert set nor a weak Sidon set.
Hare, Kathryn E.; Mohanty, Parasar. A Non-abelian, Non-Sidon, Completely Bounded $\Lambda (p)$ Set. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 1-7. doi: 10.4153/S0008439520000144
@article{10_4153_S0008439520000144,
author = {Hare, Kathryn E. and Mohanty, Parasar},
title = {A {Non-abelian,} {Non-Sidon,} {Completely} {Bounded} $\Lambda (p)$ {Set}},
journal = {Canadian mathematical bulletin},
pages = {1--7},
year = {2021},
volume = {64},
number = {1},
doi = {10.4153/S0008439520000144},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000144/}
}
TY - JOUR AU - Hare, Kathryn E. AU - Mohanty, Parasar TI - A Non-abelian, Non-Sidon, Completely Bounded $\Lambda (p)$ Set JO - Canadian mathematical bulletin PY - 2021 SP - 1 EP - 7 VL - 64 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000144/ DO - 10.4153/S0008439520000144 ID - 10_4153_S0008439520000144 ER -
%0 Journal Article %A Hare, Kathryn E. %A Mohanty, Parasar %T A Non-abelian, Non-Sidon, Completely Bounded $\Lambda (p)$ Set %J Canadian mathematical bulletin %D 2021 %P 1-7 %V 64 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000144/ %R 10.4153/S0008439520000144 %F 10_4153_S0008439520000144
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