It works ok now by doing with the following instruction:
Hi all,
thanks for your suggestion. Now my phone works again.
This are the steps, how I made my Galaxy again running.
reading the posting Samsung FUS Downloader
downloading Odin multi downloader and fus downloader
launching fus-downloader and starting inside that application the download of the image from samsung server
extracting the zip file
Start the mobile phone in download mode
Launching Odin multipart and inside in this application selecting the ops file and the downloaded image (tar file) and finally starting with the recovery
After a successful flash rebooting the mobile phone
That's it.
Now the version on my phone is: I7500XXII5
As I needed to use the computer of my sister, because on mine I do not use windows, I wanted to ask, if the same downloaded image file with tar suffix, I also can use with fastboot?
best regards and many many thanks again