However, I made then a test on window glass on which no traces were left. Then I cleaned the lens of my Sony Cybershot DSC-HX20. And lo and behold: The lens shines again like the first day.
First I removed the lens located on the particles and then rubbed gently with the (just absolutely nothing on glass inking) velvet surface on the lens. Sorry remained still light dots on the sealing of the lens to see. After then I breathed on the lens and again gently cleaned the surface, everything was a mirror finish clean.
The result is an absolutely perfect lens cleaning.
If Mike reads this (I hope so), please just order again the LensPens. The joy of the cleaning result will be huge.
Dear company HAMA: Just do a reference to this peculiarity of your product in order to avoid misunderstandings.