AS far as I know, unless this has been changed with the current season and I missed it, spells can only be traded between characters that are participating in an adventure together, either before or after the adventure or during the rare adventure that has a lot of travel days. You cannot have two characters in a game at the same time, so they would not be able to trade spells.
SKT Player's Guide said:Exchanging Wealth
You can’t give another character gold or mundane equipment. However, you can pay for some or all of the cost of services that help another character, such as the cost of a raise dead spell. In order to donate funds toward services for another character, you must be in the same party (at the same play table) unless otherwise specified by the adventure.
This doesn't say anything about sharing spellbooks.
Adventurers League FAQ said:Two or more characters participating in the same adventure together at the same table that subsequently choose to perform this downtime activity at the same time may allow one another access to their spellbook; effectively “trading” spells between everyone involved to copy as normal.
As there may sometimes be a chance of failure when copying spells, you must perform this downtime activity in the presence of the table’s DM.
Basically, I know that I can trade items between two of my characters by spending downtime days, but what if I have two Wizards both at level 5. With the expenditure of gold and downtime, can they scribe from each others spellbook to share spells?
The link for the Official FAQ in the Resources stickied post refers to the AL Wiki FAQ which appears to be out-of-sync with the official FAQ.
It points to this link: http://dndadventurersleague.org/sage/index.php?title=Frequently_Asked_Questions_(FAQ)