Two norms and on a vector space are comparable if there are from an analyst's point of view, the choice between comparable norms has little importance. At worst, it affects a few constants that turn up in estimates. positive constants c and C such that for all nonzero vectors in V we have Proven that comparability is an equivalence relation on norms. Prove that any two norms on a finite$-$dimensional vector space are comparable. Consider the norms $|$f$|\_$L$\_1=|$f$($t$)|$dt and $|$f$|$c$^0=$ max$\{|$f$($t$)|$: t element $[0,1]\},$ defined on the infinite$-$dimensional vector space C Degree of continuous functions f: $[0,1]$ rightarrow R Show tha