مشخص سازی میانگین پذیری جبرهای لائو

چکیده مقاله

In this paper, among the other things, we establish a
characterization of a left amenable Lau algebra (which includes the
group algebra and the Fourier algebra of a locally compact group
and quantum group algebras, or more generally the predual algebra
of a Hopf von Neumann algebra) in terms of the Hahn–Banach
property. We prove a variety of characterizations of left amenable
Lau algebras. We give sufficient conditions and some necessary
conditions for a Lau algebra to have a topological left invariant
mean.