We present a natural class of Banach algebras which are one-sided strongly Arens irregular. More precisely, for any non-compact, second countable locally compact group G , we show that the onvolution algebras N(Lp(G)) of nuclear operators on Lp(G), p ∈ (1,∞) , as introduced and studied by the author in [3], [6], are left but not right strongly Arens irregular.

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Keywords Arens products, Convolution algebras, Locally compact groups, Topological centres
Persistent URL dx.doi.org/10.1007/s00013-009-3258-3
Journal Archiv der Mathematik
Neufang, T. (2009). On one-sided strong arens irregularity. Archiv der Mathematik, 92(5), 519–524. doi:10.1007/s00013-009-3258-3