Beowulf's Fame. Selfish?

In my opinion, I do not think that Beowulf is selfish at all in his desire for fame. He believes that fame is a goal after death, meaning that when you pass away, you want people to remember your name around the world, to be known, and popular, but only for good things, such as being a hero, similar to how Beowulf is. I believe that Beowulf is not so concerned with being famous in general but more so, following in his father's footsteps, keeping the legacy going, and making his father proud. Since his father has passed away, he wants to still keep him alive in his legend and make sure no one forgets how great his father was by also showing that he is too in fact a great person as well. Beowulf even recites about how great his father was in this poem to all that is going to help him fight Grendel and even those who are not going to help out, but still need to know about what is going to soon happen. In my opinion, I think Beowulf is not selfish because i completely understand why he has such a need for that fame, and I do not blame him for wanting it. I would also want to make my family proud as well, it would definitely make me feel good about myself.