hi dieter,
You have 2 options:
1. In any flavor, if you want to enable history for a particular text box, select that text box, and in the property window, you will have to set "isLocalHistoryEnabled" to true.
2. If you want to enable local history for all textboxes, irrespective of flavor/transaction, set the same property using profile wide settings
http://scn.sap.com/community/gui/blog/2013/07/31/sap-screen-personas-profile-wide-settings
Sushant