I think that malls have one 'Amazon-esque' quality that hasn't really been tapped into. Selection. Wide Selection.
Plus one huge advantage over Amazon - proximity to customers.
Think about it; how convenient it would be to get a shopper to visit any and all the shops in a given mall and have all the items delivered to you in an hour or less. From couches to mattresses to groceries.
The mall acts as a warehouse of sorts and the mall owners can co-run the service reaping the benefits of either a margin/commission on sales and/or a service & delivery fee.
EDIT: If foot traffic is the main issue for the mall owners, then eCommerce with in-store pick up could be a another way to accommodate this. I just think that the idea that you can browse anything you want from a mall and know it's price and specs is too good to pass up.