I've problem with following statement:
For (real Banach algebra) the functional
Any help or advices will be highly appreciated,
Below is link to the paper where is that statement. Remark after proof of second Theorem.
I didn't see that mistake befor, of course it should be
And You are right it is algebra of all continuous functions on the unit interval.
I'm sorry for that mistake.
PS. Here is link to the original paper http://matwbn.icm.edu.pl/ksiazki/sm/sm29/sm29126.pdf