Hi,
let f and g be 2 functions in B[0,infinity].
Then,
Finally,
moreover,
let f be a function in B, let k be a real number.
Then and , so
having trouble showing whether
J(y)=suplyl is a norm on the space B[0,infinity) where B is the space of bounded functions on interval [0,infinity)
I have no trouble showing llfll=0 iff f=0 but the other three conditions have me stuck any help would be really appreciated