Hello,

Here are two Algebras and i want to show that they are isomorphic:

1)

2)

The algebra of the form is the set of all endomorphisms. And the are vector spaces.

I try to construct a isomorphism, but it failed all the time. Can you please help me?

I think that the Algebra-Multiplikation is composition in both cases.

I have defined this map, but i couldn't show that it is an isomorphism:

with f defined as:

Regards