Inclusion theorems for grand Lorentz spaces

In this paper, we consider some inclusion theorems for grand Lorentz spaces $L^{p,q)}(X,\mu )$ and ${\mathrm{\Lambda }}_{p),\omega }$ where $\mu$ is a finite measure on $(X,\mathrm{\Sigma })\mathrm{.}$ Moreover, we consider the problem of the convergence of approximate identities in these spaces.