Gmail: How do I mute ALL coming mail *except* mail from certain senders? I have a gmail account and I am getting too many inbox notifications. It wouldn't work to create a blacklist, because they come from many places. I would like to whitelist 3 or 4 senders and only receive notifications from them. Thank you.
You might try:

whitelist a couple of email-addresses and mark them as important.
On the general tab of gmail settings choose: Important mail notifications on.

Hope this solves your issue.