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Currently, every time any element of the UI is opened, the inventory is also opened automatically. This wouldn't be much of an issue if the inventory would close along with the other element, but it doesn't. In fact, if the inventory is closed while the other UI element is still open, then the inventory will re-open once the other is closed.

The need for interaction between the inventory and another element seems like a relatively rare occurence. In the case of the map and quest log, there is absolutely no need for the inventory to even be opened at that time since inventory items can't be dragged between those panes.

My suggestion: keep the inventory pane closed unless invoked by its bound key. It would be less of a bother to manually open the inventory when its needed than it is to have to close two panes.