▁ ▁only ▁at ▁: ▁thus ▁the ▁space ▁of ▁smooth ▁functions ▁( with ▁respect ▁to ▁the ▁uniform ▁distance ) ▁is ▁is omet r ically ▁is omorphic ▁to ▁a ▁space ▁of ▁now here - d iffer enti able ▁functions . ▁Note ▁that ▁the ▁( met r ically ▁incomplete ) ▁space ▁of ▁smooth ▁functions ▁is ▁dense ▁in ▁. ▁ ▁References ▁▁▁▁▁▁▁ ▁Category : Cont inu ous ▁ma ppings ▁Category : The or ems ▁in ▁functional ▁analysis <0x0A> </s> ▁Earl ▁Of ari ▁H utch inson ▁( born ▁October ▁ 8 , ▁ 1 9 4 5 ) ▁is ▁an ▁American ▁author ▁and ▁media ▁critic . ▁ ▁Early ▁life ▁and ▁education ▁His ▁father , ▁Earl ▁H utch inson ▁Sr ., ▁is ▁the ▁lead ▁author ▁of ▁A ▁Col ored ▁Man ' s ▁J our ney ▁Through ▁ 2 0 th ▁Century ▁Seg reg ated ▁America ▁published ▁by ▁Middle ▁Pass age ▁Press . ▁His ▁daughter ▁S ik iv u ▁H utch inson ▁is ▁a ▁nation ally ▁acc laimed ▁author ▁and ▁speaker . ▁His ▁son ▁F anon ▁H utch inson ▁is ▁a ▁recognized ▁document ary ▁vide ograph er ▁and ▁producer . ▁ ▁He ▁was ▁born ▁in ▁Chicago , ▁Illinois , ▁and ▁attended ▁Catholic ▁elementary ▁schools ▁and ▁M t . ▁Car mel ▁High ▁School . ▁He ▁re located ▁to ▁Los ▁Angeles ▁in ▁ 1 9 6 1 , ▁attended ▁Dor sey ▁High ▁School . ▁He ▁graduated ▁from ▁California ▁State ▁University , ▁Los ▁Angeles ▁with ▁a ▁B A ▁in ▁Soci ology . ▁He ▁earned ▁an ▁MA ▁in ▁Human ities ▁from ▁California ▁State ▁University