Logging actions. Sure.
Reading my email? OK
Wiretapping my phone? OK
========= LIMIT =========
Sending emails in my name? False Personation.
Where is the limit?
Banks' Compliance departments require the first three (SEC rules) at work -- including work mobile phone. I drew the line for you.
By the way, false (im)personation can be qualified as a felony is some states in the US.