In this paper we introduce the notions of essentially left amenable and approximately left amenable Lau algebras together with several characterizations of such algebras. In particular we investigate the relations between the left amenability, the essential left amenabil-ity and the approximate left amenability of certain quotient Lau algebras as well as operator projective tensor product of Lau algebras. The obtained results are applied to prove that the three notions coincide for a number of well-known semigroup algebras.
Baker A. C.
and Baker, J. W.
, Algebras of measures on a locally compact semi-group III,
J. London Math. Soc.4
Baker J. W., 'Algebras of measures on a locally compact semi-group III' (1972) 4J. London Math. Soc.: 685-695.
Baker J. W.Algebras of measures on a locally compact semi-group IIIJ. London Math. Soc.19724685695)| false