Use the Alter View statement to edit the view. Just use the existing SQL statement in the current view and add the column to the end.
http://dev.mysql.com/doc/refman/5.0/en/alter-view.html
A more detailed explanation than the actual documents can be found here:
http://www.roseindia.net/mysql/mysql5/views.shtml
Edit - Added
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Create View FullNames AS
Select EmployeeId, firstname + ' ' + lastname AS FullName from Employees
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