Chapter 3 Representations of Groups
... show that H can be equipped with a scalar product under which T is unitary. It is easy to see that such a scalar product is given by (x, y) = f a (r(g)x, T(g)y)t dg where (x, Y)I is the original scalar product in H. For unitary representations one can show that the orthogonal complement of an invari ...
... show that H can be equipped with a scalar product under which T is unitary. It is easy to see that such a scalar product is given by (x, y) = f a (r(g)x, T(g)y)t dg where (x, Y)I is the original scalar product in H. For unitary representations one can show that the orthogonal complement of an invari ...
Additive decompositions of sets with restricted prime factors
... Wirsing [39] showed that almost all sets of integers are asymptotically additively irreducible. But it seems very difficult to prove whether a given set S that “occurs in nature” is asymptotically additively irreducible or not. Shortly we will describe some of the results obtained previously. The m ...
... Wirsing [39] showed that almost all sets of integers are asymptotically additively irreducible. But it seems very difficult to prove whether a given set S that “occurs in nature” is asymptotically additively irreducible or not. Shortly we will describe some of the results obtained previously. The m ...
