Inclusion theorems for grand Lorentz spaces

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