Geodesic
Approximate and weak amenability of certain Banach algebras
P. Bharucha1 ; R. J. Loy1
1Mathematical Sciences Institute Australian National University Canberra, ACT 0200, Australia
Studia Mathematica, Tome 197 (2010) no. 2, pp. 195-204
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The notions of approximate amenability and weak amenability in Banach algebras are formally stronger than that of approximate weak amenability. We demonstrate an example confirming that approximate weak amenability is indeed actually weaker than either approximate or weak amenability themselves. As a consequence, we examine the (failure of) approximate amenability for $\ell ^{ p}$-sums of finite-dimensional normed algebras.
DOI : 10.4064/sm197-2-5
Keywords: notions approximate amenability weak amenability banach algebras formally stronger approximate weak amenability demonstrate example confirming approximate weak amenability indeed actually weaker either approximate weak amenability themselves consequence examine failure approximate amenability ell sums finite dimensional normed algebras

P. Bharucha  1   ; R. J. Loy  1

1 Mathematical Sciences Institute Australian National University Canberra, ACT 0200, Australia 
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P. Bharucha; R. J. Loy. Approximate and weak amenability of
 certain Banach algebras. Studia Mathematica, Tome 197 (2010) no. 2, pp. 195-204. doi: 10.4064/sm197-2-5

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