希尔伯特空间问题集

(美) 哈尔莫斯 (Halmos,P.R.) , 著

出版社：世界图书出版公司北京公司

年代：2009

定价：38.0

书籍简介:

作者把希尔伯特空间理论的概念、定义、定理、相互关系、有关的推广和应用等方面概括成250个问题，读者通过讨论和证明这些问题，可对希尔伯特空间理论有较全面和系统的理解。全书分三部分：问题、提示和解答。

书籍目录:

1.VECTORS

1.Limitsofquadraticforms

2.Schwarzinequality

3.Representationoflinearfunctionals

4.Strictconvexity

5.Continuouscurves

6.Uniquenessofcrinkledarcs

7.Lineardimension

8.Totalsets

9.Infinitelytotalsets

10.InfiniteVandermondes

11.T-totalsets

12.Approximatebases

2.SPACES

13.Vectorsums

14.Latticeofsubspaces

15.Vectorsumsandthemodularlaw

16.Localcompactnessanddimension

17.Separabilityanddimension

18.MeasureinHiibertspace

3.WEAKTOPOLOGY

19.Weakclosureofsubspaces

20.Weakcontinuityofnormandinnerproduct

21.Semicontinuityofnorm

22.Weakseparability

23.Weakcompactnessoftheunitbali

24.Weakmetrizabilitvoftheunitball

25.Weakclosureoftheunitsphere

26.Weakmetrizabilityandseparability

27.Uniformboundedness

28.WeakmetrizabilityofHilbertspace

29.Linearfunctionalson/2

30.Weakcompleteness

4.ANALYTICFUNCTIONS

31.AnalyticHilbertspaces

32.BasisforAe

33.RealfunctionsinHe

34.ProductsinH2

35.AnalyticcharacterizationofH2

36.FunctionalHilbcrtspaces

37.Kernelfunctions

38.ConjugationinfunctionalHilbertspaces

39.Continuityofextension

40.Radiallimits

41.Boundedapproximation

42.Multiplicativityofextension

43.Dirichletproblem

5.INFINITEMATRICES

44.Column-finitematrices

45.Schurtest

46.Hilbertmatrix

47.ExponentialHilbertmatrix

48.PositivityoftheHilbertmatrix

49.Seriesofvectors

6.BOUNDEDNESSANDINVERTIBILITY

50.Boundednessonbases

51.Uniformboundednessoflineartransformations

52.lnvertibletransformations

53.Diminishablecomplements

54.Dimensionininner-productspaces

55.Totalorthonormalsets

56.Preservationofdimension

57.Projectionsofequalrank

58.Closedgraphtheorem

59.Rangeinclusionandfactorization

60.Unboundedsymmetrictransformations

7.MULTIPLICATIONOPERATORS

61.Diagonaloperators

62.Multiplicationson12

63.Spectrumofadiagonaloperator

64.Normofamultiplication

……

内容摘要:

　　Thisbookwaswrittenfortheactivereader.Thefirstpartconsistsofproblems,frequentlyprecededbydefinitionsandmotivation,andsometimesfollowedbycorollariesandhistoricalremarks.Mostoftheproblemsarestatementstobeproved,butsomearequestions(isit?,whatis?),andsomearechallenges(construct,determine).Thesecondpart,averyshortone,consistsofhints.Ahintisaword,oraparagraph,usuallyintendedtohelpthereaderfindasolution.Thehintitselfisnotnecessarilyacondensedsolutionoftheproblem;itmayjustpointtowhatIregardastheheartofthematter.Sometimesaproblemcontainsatrap,andthehintmayservetochidethereaderforrushingintoorecklessly.Thethirdpart,thelongest,consistsofsolutions:proofs,answers,orconstructions,dependingonthenatureoftheproblem.

书籍规格:

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	9787510004445 如需购买下载《希尔伯特空间问题集》pdf扫描版电子书或查询更多相关信息，请直接复制isbn,搜索即可全网搜索该ISBN
出版地	北京	出版单位	世界图书出版公司北京公司
版次	1版	印次	1
定价(元)	38.0	语种	英文
尺寸	14	装帧	平装
页数		印数	1000

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书籍信息归属:

希尔伯特空间问题集是世界图书出版公司北京公司于2009.04出版的中图分类号为 O177.1 的主题关于希尔伯特空间－英文的书籍。