I occasionally get notifications about somebody trying to access my blockchain.info wallet. It has been a concern. After all, how do they know my account identifier? Do I have a key logger on my computer?
I believe that the reason for the login attempts is that I gave my account an "alias".
When you create a blockchain.info wallet, you can give it a name, or "alias". This allows you to access your wallet without knowing the account identifier.
For example, there is a wallet with the alias "wallet". You can attempt to log into that wallet by going to this address
http://blockchain.info/wallet/wallet, or by entering "wallet" into the identifier field. Since blockchain.info has never seen your IP, they will send a notification to the owners email. (I would like to apologize to the person who owns that wallet for telling everyone about his alias. He is going to get deluged with login attempt notifications if he isn't already.)
I believe that the reason I get occasional login attempt notifications is that the alias of my wallet is a fairly common word related to Bitcoin, and people just randomly decide to try it, or perhaps somebody is guessing aliases in order to possibly hack a wallet.
The danger is that I might accidentally authorize the login. If I do, then the hacker is given an encrypted copy of the wallet (I believe). I am unlikely to authorize the attempt and my wallet has an unbreakable password (very long and randomly-generated) so I'm not worried. But, ...
If you give your wallet a simple alias and you choose a stupid password, then the probability of your bitcoins being stolen is high. All you have to do is to accidentally authorize a login.