Are there some logs which tell, what the member does in the backend?
Something like: "User: «John Doe» Edited this entry at this and that date".
Just a bit more information than what is written on the member account:
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Not currently... we've discussed adding a sort of audit or activity trail to Craft itself, but haven't flushed out any details or timeline.
In the meantime, you could probably get 95% there with a custom plugin that listens to the various Craft events you're interested in.