Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 5 1 2020 06 01 A Note on Essentially Left ϕ-Contractible Banach Algebras انقباض پذیری 23 27 164 10.22128/gadm.2020.355.1027 EN Amir Sahami Ilam University 0000-0003-0041-509X Isaac Almasi Ilam University Journal Article 2020 02 01 In this note, we show that [11, Corollary 3.2] is not always true. In fact, we characterize essential left ϕ-contractibility of group algebras in terms of compactness of its related locally compact group. Also, we show that for any compact commutative group G, L²(G) is always essentially left ϕ-contractible. We discuss the essential left ϕ-contractibility of some Fourier algebras. https://ansne.du.ac.ir/article_164_69729137f199df39518db83186ef15ea.pdf