Dear members
Thanks for your reply to my questions
Here there are some questions
Let G is a locally compact abelian group and à is duel
group
In book Fourier analysis on groups that is written by Walter
Rudin it is said
That à is the set of all continuous homomorphism on G with the
absolute value one
But I have seen in some text that we suppose there is a net of
characters in which converge infinity I cannot understand when
this characters have absolute value one how we talk about
converging to infinity ?
Second question is about Ã(µ) what is the exact
definition of Ã(µ)?
What is the relation between Ã(µ) and L^1 (ì) and L^1 (ì)^?
In one of the paper that I am studying introduce L-
subalgebra in this way
"a norm closed subspace of measures which is closed under
the operation Of multiplication by bounded
measurable functions please explain
About the meaning of definition
Does Ã(µ) separate the points of L^1 (ì)?
Why (C(Ã(µ) )=) ̅L^1 (ì)^