Dales, H. G.Loy, R. J.Zhang, Y.2016-02-172016-02-170039-3223http://hdl.handle.net/1885/733712908We consider when certain Banach sequence algebras A on the set N are approximately amenable. Some general results are obtained, and we resolve the special cases where A=ℓp for 1≤p<∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras ℓp(ω).16 pages© Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics). http://www.sherpa.ac.uk/romeo/issn/0039-3223/ Author can archive post-print (ie final draft post-refereeing) (Sherpa/Romeo 11/9/2017)BanachsequencealgebrasANA=ℓp1≤p<∞ℓp(ω)200610.4064/sm177-1-6