%0 Journal Article
%T On approximate left ¦Õ-biprojective Banach algebras
%A Pourabbas
%A Abdolrasoul
%A Sahami
%A Amir
%J -
%D 2018
%R 10.3336/gm.53.1.13
%X Sa£¿etak Let A be a Banach algebra. We introduce the notions of approximate left ¦Õ-biprojective and approximate left character biprojective Banach algebras, where ¦Õ is a non-zero multiplicative linear functional on A. We show that for a SIN group G, the Segal algebra S(G) is approximate left ¦Õ1-biprojective if and only if G is amenable, where ¦Õ1 is the augmentation character on S(G). Also we show that the measure algebra M(G) is approximate left character biprojective if and only if G is discrete and amenable. For a Clifford semigroup S, we show that \(l^1(S)\) is approximate left character biprojective if and only if \(l^1(S)\) is pseudo-amenable. We study the hereditary property of these notions. Finally we give some examples to show the differences of these notions and the classical ones
%K Approximate left ¦Õ-biprojectivity
%K left ¦Õ-amenability
%K Segal algebra
%K semigroup algebra
%K measure algebra
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=297077