Notification emails are sent to both parties when the transfer has been initiated. The emails are sent to the email addresses registered to the accounts in question.
Something I’ve learned over the years. If you are receiving the character, you can see it pending on your account.
Log into the account: Account Information | EVE Online
Scroll down to the bottom, under the “Current Players” column click on “Character Transfers”. It will bring you to a screen with all existing and pending characters takes about 15 minutes after the transfer has started.
I wrote in support, they told me that the transfer was going on. Although there was still no letter. I looked, there were no new characters anywhere. But OK, I believe and I’m waiting