If the world was without dust, sand, water, and gravity, I would use my lenses without a UV filter because lenses are engineered to work at their best straight out of the box. To answer the OP, specifically to the DA lenses and most newer lenses, they have "digital coatings" to protect against reflections off the sensor and UV.
Now placing an element in front of a lens will change its optical quality. What it all boils down to is weighing the benefits versus cost of using a UV filter to protect your lens versus how much image quality you lose, so finding the right UV filter with a minimum impact on IQ is our goal.
By using a poorly engineered filter, we can lose contrast, color, and increase flare turning our high quality lens into a low quality lens. Images will suffer this loss in contrast which leaves us spending time post processing photos.
From my experience, multicoated filters from certain manufacturers tend to help with many of the problems listed above. I have done tests on several companies on my site and will be adding a Hoya Super HMC to the list when I receive it.
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-imt