泛函分析(第6版) YOSIDA 9787506226110 世界圖書齣版社

泛函分析(第6版) YOSIDA 9787506226110 世界圖書齣版社 下載 mobi epub pdf 電子書 2025

YOSIDA 著
想要找書就要到 圖書大百科
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!
店鋪: 聞知圖書專營店
齣版社: 世界圖書齣版社
ISBN:9787506226110
商品編碼:28186512566
齣版時間:2010-05-01

具體描述

書名泛函分析(D16版)
定價75.00
ISBN9787506226110
齣版社世界圖書齣版社
作者YOSIDA
編號10830126
齣版日期2010-05-01
印刷日期2008-11-01
版次
字數
頁數

Contents
0.Preliminaries
1.SetTheory
2.TopologicalSpaces
3.MeasureSpaces
4.LinearSpaces
I.Semi-nonns
1.Semi-nonnsandLocallyConvexLinearTopologicalSpaces
2.NonnsandQuasi-nonns
3.ExamplesofNormedLinearSpaces
4.ExamplesofQuasi-nonnedLinearSpaces
5.Pre-HilbertSpaces
6.ContinuityofLinearOperators
7.BoundedSetsandBomologicSpaces
8.GeneralizedFunctionsandGeneralizedDerivatives
9.B-spacesandF-spaces
10.TbeCompletion
11.FactorSpacesofaB-space
12.ThePartitionofUnity
13.GeneralizedFunctionswithCompactSupport
14.TheDirectProductofGeneralizedFunctions
II.ApplicationsoftheBaire-HausdorffTheorem
1.TheUnifonnBoundednessTheoremandtheResonanceTheorem
2.TheVitali-Hahn-SaksTheorem
3.TheTermwiseDifferentiabilityofaSequenceofGeneralizedFunctions
4.ThePrincipleottheCondensationofSingularities
5.TheOpenMappingTheorem
6.TheClosedGraphTheorem
7.AnApplicationoftheClosedGraphTheorem(Hormander'sTheorem)
III.TheOrthogonalProjectionandF.RieszRepresentationTheo-rem
1.TheOrthogonalProjection
2.'NearlyOrthogonal'Elements
……
IV.TheHahn-BanachTheorems
V.StrongConvergenceandWeakConvergence
VI.FourierTransformandDifferentialEquations
VII.DualOperators
VIII.ResolventandSpectrum
IX.AnalyticalTheoryofSemi-groups
XCompactOperators
XI.NonnedRingsandSpectralRepresentation
XII.OtherRepresentationTheoremsinLinearSpaces
XIIT.ErgodicTheoryandDiffusionTheory
XIVTheIntegrationoftheEquationofEvolution
SupplementaryNotes
Bibliography
Index
NotationofSpaces

hepresentbookisbasedonlecturesgivenbytheauthorattheUniversityofTokyoduringthepasttenyears.ItisintendedasatextbooktobestudiedbystudentsontheirownortobeusedinacourseonFunctionalAnalysis,i.e.,thegeneraltheoryoflinearoperatorsinfunctionspacestogetherwithsalientfeaturesofitsapplicationtodiversefieldsofmodemandclassicalanalysis.Necessaryprerequisitesforthereadingofthisbookaresummarized,withorwithoutproof,inChapter0undertitles:SetTheory,TopologicalSpaces,MeasureSpacesandLinearSpaces.Then,startingwiththechapteronSemi-norms,ageneraltheoryofBanachandHilbertspacesispresentedinconnectionwiththetheoryofgeneralizedfunctionsofS.L.SOBOLEVandL.SCHWARTZ.Whilethebookisprimarilyaddressedtograduatestudents,itishopeditmightproveusefultoresearchmathematicians,bothpureandapplied.Thereadermaypass,e.g.,fromChapterIX(AnalyticalTheory.ofSemi-groups)directlytoChapterXIII(ErgodicTheoryandDiffusionTheory)andtoChapterXIV(IntegrationoftheEquationofEvolution).Suchmaterialsas'WeakTopologiesandDualityinLocallyConvexSpaces'and'NuclearSpaces'arepresentedintheformoftheappendicestoChapterVandChapterX,respectively.Thesemightbeskippedforthefirstreadingbythosewhoareinterestedratherintheapplicationoflinearoperators.

用戶評價

評分

評分

評分

評分

評分

評分

評分

評分

評分

相關圖書

本站所有內容均為互聯網搜尋引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

© 2025 book.qciss.net All Rights Reserved. 圖書大百科 版權所有