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关于Kadec性质(英文)

GivenaBanachspace(X,11.11),wedenoteitscoisedabetballandunitspherebyU(X)andS(X),respectively.ForanyB0and2eX,letB(z,B)~(yeX:11g--xif0andjES(X.),letB(j,B)~(:WU(X):(z,j)l--B)'ForanyboundedsubsetEofX,theKuratowskiindexofnoncompactnessa(E)ofEisdefinedastheinfilnumofallPOSitivenumbers'suchthatEcanbecoveredbyafinitenumberofsetsofddrieterlessthan"ABanachspace(X,11.11)issaidtohaveproperty(a)iflima(S(j,8))~0foreveryfet~0S(X.)'I...  (本文共3页) 阅读全文>>

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