At first thanks for your feedback :-)
Well I have done a solution in this way that I have used the search Core Result webpart and it works now fine.
I have also restarted the service and I think this was the problem, because I never got any search results.
It works now all fine but I need to get AllItems.aspx out of my scope and I don't know how?
What I will do is to search in my contact list for contacts.
I am using a Search Box webpart and the Core Result webpart. It works fine, but I want to get
only the entries insite the list but in the moment the result shows me also the contact list as an result...
Any ideas would be more as appreciate :-)))