序列空間中的(Y)收斂.pdf

1、遼寧師范大學碩士學位論文序列空間中的（Y）收斂姓名：吳巖申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：王晶昕20090501AbstractThe(Y)convergenceprobleminnormedspacehasbeenanalysisedfirstlyinthistextItissimilartoweakconvergencepropertyThen(Y)convergencehasbeenprovedbetweennormedc

2、onvergenceandweakconvergenceSince(Y)convergencehasacloserelationshipwithnormedspace(Y)itself，thedefinitionwhichisnormedspace(M)strongerthannormedspace(Y2)，andnormedspace(y)ispresentedinnormedspace(fp)forfurtherresearchTh

3、istextgivesaresearchonsomecertain(Y)convergenceinlocallyconvextopologicalspace，andadiscussionon(Y)compactnessofthesequenceand(Y)CauchysequenceFinallyastatementabout(Y)boundedvariationfunctionproblemhasbeenmakenIntheendof

4、thistextgivesadescriptionaboutthecompactnessofsomecertainlocallyconvextopologicalspacewith(Y)convergenceandthecompletenessproblemKeyWords：strongconvergence，weakconvergence，(Y)convergence，(Y)topology(Y)convergence，(噩)conv