Approximate amenability for Banach sequence algebras

• Autorzy: H. G. Dales , R. J. Loy , Y. Zhang
• Języki publikacji: EN

Abstrakty

EN

We 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 $A = ℓ^{p}$ for 1 ≤ p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras $ℓ^{p}(ω)$.

Kategorie tematyczne

• 46H20: Structure, classification of topological algebras
• 43A20: L 1 -algebras on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 1
• Strony: 81-96

Daty

wydano

2006

Twórcy

autor

H. G. Dales

• Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK

autor

R. J. Loy

• Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia

autor

Y. Zhang

• Department of Mathematics, University of Manitoba, Winnipeg R3T 2N2, Canada

Identyfikatory

DOI

10.4064/sm177-1-6