strings need to be quoted in SQL.
$SQL = "Select * FROM membership_info WHERE username = '".$_SESSION['username']."'";
further,
you need to escape strings you use in SQL statements, so you don't accidentally create errors (for example, if your [font=monospace]$SESSION['username'][/font] contains a single-quote, it will break your query):
$SQL = "Select * FROM membership_info WHERE username = '".mysql_real_escape_string( $_SESSION['username'] )."'";
further,
stop using the mysql extension! It is deprecated and will be removed in the future. [man]mysqli[/man] or [man]PDO[/man] are recommended instead.