flirtation with Hollywood?

What does "flirtation with Hollywood" mean? I found many articles with this expression, but can't quite get the idea:

"The film begins in the 1920s with Hughes' flirtation with Hollywood, where he applies the same obsessive attention to Jane Russell's décolletage ..."
(from http://www.weeklyplanet.com/2004-12-22/film.html)

"Gershwin's flirtation with Hollywood brought us some of his most famous writings, ..."
(from http://members.lycos.nl/summertimeweb/Gershwin.html)

"It was during this period that Mr. Copland, like so many American composers, had a flirtation with Hollywood, ..."
(from http://www.nytimes.com/books/99/03/14/specials/copland-obit.html)

...And many other examples...

I suppose it means that they'd never had their music or books anywhere near Hollywood, and then they decided to have their movies or books shown in Hollywood movies.

It means that they worked briefly in the U.S. film industry. Lots of creative types -- writers, composers, theater actors, playwrights, artists etc. -- go to Hollywood, lured by money, fame, and glamour, do a brief stint there, and then leave, disillusioned by the cut-throat environment and workman's pace of that industry. Think of it as a brief love affair.

To "flirt" with something (not in the sense of flirting with a person) is to have a very brief interest or association with it, as in "I flirted with the idea of joining the merchant marine, but then I got married instead."