ThesettingforthefollowingisanormedrealvectorspaceXkkForasubsetCXweletdiamkkCdenotethediameterofCGivenapointx2XtheradiusofCwithrespecttoxisdenedasrxCsupfkxyky2CgIfCisaboundedsetthenC ID: 255032
Thesettingforthefollowingisanormedrealvectorspace(X;kk).ForasubsetCX weletdiamkkCdenotethediameterofC.Givenapointx2X