Folks,
Consider the vector space l_infty(R) of all bounded sequences. Decide whether or not the following norm is defined on . If they are, verify by axioms. If not, provide counter example.
,
(i) defined by
a) Since
s.t
s.t
Now we have that , therefore
b)
Axioms c) and d) I dont know how to attempt for this space...?
That is what confused me. Usually we just use three properties for norm.
Let what is