How to update only tab title in p:tabView /p:accordion or similar component?

Question

I am trying to make the title of some tabs underlined if some specific content is shown on that tabs using ajax update (just titles, nothing else). Currently it works only if I

Answer 1

Thanks to Kukeltje and Geinmachi!

The right way is really to use a facet (but with CSS style separately because if you use CSS inline, the tags will be shown as is and text won't be underlined):

  
    
  
...

and (in managed bean if necessary):

documentsHeaderInline = "text-decoration: underline;";