Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

Approximate amenability for Banach sequence algebras

Tom 177 / 2006

Studia Mathematica 177 (2006), 81-96 MSC: Primary 46H20; Secondary 43A20. DOI: 10.4064/sm177-1-6

Streszczenie

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 $\ell^{\,p}(\omega)$.

Autorzy

• H. G. DalesDepartment of Pure Mathematics
University of Leeds
Leeds LS2 9JT, UK
e-mail
• R. J. LoyMathematical Sciences Institute
Australian National University
Canberra, ACT 0200, Australia
e-mail
• Y. ZhangDepartment of Mathematics
University of Manitoba