Try this
if (Session["Type"] == null)
{
Response.Redirect("Default.aspx");
}
else if(String.Equals(Convert.ToString(Session["Type"]), "Admin",StringComparison.OrdinalIgnoreCase))
{
LinkButton_logout.Text = "Logout";
Label_loggedin.Text = "Welcome " + Convert.ToString(Session["Alias"]);
}
Note: Before this code,check that your sessions have proper values to be handled.
Regards..:)