Approximate and weak amenability of certain Banach algebras

• Autorzy: P. Bharucha , R. J. Loy
• Języki publikacji: EN

Abstrakty

EN

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 $ℓ^{p}$-sums of finite-dimensional normed algebras.

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 43A32: Other transforms and operators of Fourier type
• 46H20: Structure, classification of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 197
• Numer: 2
• Strony: 195-204

Daty

wydano

2010

Twórcy

autor

P. Bharucha

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

autor

R. J. Loy

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

Identyfikatory

DOI

10.4064/sm197-2-5