Let $ c_{o}:=\lbrace x:\mathbb{N}\rightarrow \rightarrow\mathbb{R} :lim_{j\rightarrow\infty} x_{j}=0,sup_{j}\vert x_{j}\vert <\infty \rbrace$ denote the usual Banach sequence spaces. Given Banach spaces X,Y let L(X,Y) denote the Banach space of bounded, linear operators from X to Y . Also let $ \ell_{1} :=\lbrace x:\mathbb{N}\rightarrow \rightarrow\mathbb{R} :\Sigma_{j=1}^{\infty}\vert x_{j}\vert <\infty \rbrace$

is $ c_{0} $ isometrically embedding in $ L(c_{0},\ell_{1}) $ ?