Breton has called instead for people to use instant messaging and a Facebook type interface. There are a number of companies offering internal "social network" style engagements, including Yammer and others. The idea is to set up a Facebook type structure within your organisation's communications infrastructure and use that instead of email.
This can be a very useful tool but it's not a complete substitution for email. It's vastly more efficient than copying everyone in on a single email then everyone getting the same response - that just clutters in-boxes. Having a tree diagram of where all the conversations happened, who's replying to what, and soforth, is vastly easier than tracing back every individual message on an email chain.
There's certainly a good case for adjusting the use of email in corporations. One of the more notable elements of this is that young people are abandoning it - only about 10% actually use it any more, according to Poitiers University.
Whether they'll be persuaded to change back when they reach employment is another discussion. Certainly when I went around the Unified Communications Expo in London earlier this year I found a lot of people saying email was dead, but only when they were trying to flog me an alternative, so for me the final jury is out.
I don't think I'd want to work for a business which had an all-out ban, though. What do readers think?