Geodesic
Approximate amenability for Banach sequence algebras
H. G. Dales1 ; R. J. Loy2 ; Y. Zhang3
1Department of Pure Mathematics University of Leeds Leeds LS2 9JT, UK
2Mathematical Sciences Institute Australian National University Canberra, ACT 0200, Australia
3Department of Mathematics University of Manitoba Winnipeg R3T 2N2, Canada
Studia Mathematica, Tome 177 (2006) no. 1, pp. 81-96
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We consider when certain Banach sequence algebras $A$ on the set ${\mathbb N}$ are approximately amenable. Some general results are obtained, and we resolve the special cases where $A = \ell^{\,p}$ for $1\leq p \infty$, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras $\ell^{\,p}(\omega)$.
DOI : 10.4064/sm177-1-6
Keywords: consider certain banach sequence algebras set mathbb approximately amenable general results obtained resolve special cases where ell leq infty showing these algebras approximately amenable result holds weighted algebras ell omega

H. G. Dales  1   ; R. J. Loy  2   ; Y. Zhang  3

1 Department of Pure Mathematics University of Leeds Leeds LS2 9JT, UK
2 Mathematical Sciences Institute Australian National University Canberra, ACT 0200, Australia
3 Department of Mathematics University of Manitoba Winnipeg R3T 2N2, Canada 
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H. G. Dales; R. J. Loy; Y. Zhang. Approximate amenability for Banach sequence algebras. Studia Mathematica, Tome 177 (2006) no. 1, pp. 81-96. doi: 10.4064/sm177-1-6

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