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PDF-Sumofe-spacesisdirect PDF document

Prop LetTVVbelinear1r2FbedistinctThenthesumofespacesE1Erisdirect ProofbyinductiononrWemayassumethatthesumE1Er1isdirectsobytheinductivedefnofinternaldirectsumitsucestosh

Prop LetT:V!Vbelinear&1;:::;r2Fbedistinct.Thenthesumofe-spacesE1+:::+Erisdirect. Proofbyinductiononr.WemayassumethatthesumE1+:::+Er1isdirectsobytheinductivedefnofinternaldirectsum itsucestosh

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