A year later:
I'm still very happy with my Chrome Book. It runs and runs and runs :-). Although I use it every day and it has been my constant companion, the battery has hardly lost its power. It performs reliably and above all stable his service. Sure, it is not a work computer, but just perfect for traveling and on the couch. Even one of my skeptical friends became a "chromianer".
Conclusion:
It's exactly what I was looking for. A small mobile and stable companion with whom I always had the full Internet while and have no need of minimalist apps. I can only recommend it still.
Memory:
the Chromebook is in the cloud at home. The internal memory is therefore not very important. All documents, pictures and music files are stored online. Who has a problem, should establish a conventional netbook prefer.
I, for one, like to enjoy my music from anywhere and on any device. I have always with you my photos and do not need this extra memory to lug. Simply open the book and there they are, all media and documents :-).
In the internal memory are, after one year use, just three files. Backed up on the host computer at home.