[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fpJYxIIG9kPh1PjUs1BlxuNFN9qeAbD-nFuS_eaYRRU8":3},{"id":4,"product_type_id":5,"catalog_key":6,"asin":6,"title":7,"description":8,"cover_image_url":8,"images":9,"category":10,"type_attributes":11,"sp_api_data":8,"enriched_at":17,"slug":18,"created_at":19,"updated_at":20,"fts":21,"list_price":22,"genre":23,"has_available_listing_us":25,"has_available_listing_ca":26,"inventory_sync_interval":8,"next_inventory_sync_at":8,"bnc_data":27,"enriched_by_bnc":25,"enriched_by_amazon":26,"isbn_13":130,"isbn_10":6,"gtin_12":8,"gtin_13":130,"sales_rank":131,"sales_rank_at":132,"next_sales_rank_refresh_at":133,"listings":134,"product_type":147},"75b6fe4e-333e-4303-9185-e7aa4a297772","064fd6ed-d142-4737-b192-b8815a35f9d9","0387900934","Finite-Dimensional Vector Spaces",null,[],"Books",{"author":12,"binding":13,"language":14,"publisher":15,"publication_year":16},"P.R. Halmos","Hardcover","English","Springer/Sci-Tech/Trade",1974,"2026-03-25T15:37:56.273+00:00","finite-dimensional-vector-spaces-book-0387900934","2026-03-17T17:15:37.860327+00:00","2026-03-27T02:21:00.119307+00:00","'book':6C 'dimension':3A 'finit':2A 'finite-dimension':1A 'space':5A 'vector':4A",87.95,[24],"MATHEMATICS/General",true,false,{"ProductSupply":28,"RecordReference":53,"RelatedMaterial":54,"CollateralDetail":55,"NotificationType":59,"PublishingDetail":70,"RecordSourceName":45,"RecordSourceType":59,"DescriptiveDetail":82,"ProductIdentifier":123,"RecordSourceIdentifier":129},{"Market":29,"SupplyDetail":32},{"Territory":30},{"CountriesIncluded":31},"CA",{"Price":33,"Supplier":44,"PackQuantity":49,"ReturnsConditions":50,"ProductAvailability":52},[34],{"Discount":35,"PriceType":37,"Territory":38,"PriceAmount":22,"CurrencyCode":39,"DiscountCoded":40,"PriceQualifier":43},{"DiscountPercent":36},20,1,{"CountriesIncluded":31},"CAD",{"DiscountCode":36,"DiscountCodeType":41,"DiscountCodeTypeName":42},2,"Login Canada discount",0,{"SupplierName":45,"SupplierRole":41,"SupplierIdentifier":46},"Login Canada",{"IDValue":47,"SupplierIDType":48},1196049,7,38,{"ReturnsCode":51,"ReturnsCodeType":41},"C",23,387900934,"",{"TextContent":56,"SupportingResource":63},[57,60],{"Text":58,"TextType":59,"ContentAudience":43},"\"The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other \"modern\" textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher.\"<EM>Zentralblatt für Mathematik</EM>",3,{"Text":61,"TextType":62,"ContentAudience":43},"I. Spaces.- 1. Fields.- 2. Vector spaces.- 3. Examples.- 4. Comments.- 5. Linear dependence.- 6. Linear combinations.- 7. Bases.- 8. Dimension.- 9. Isomorphism.- 10. Subspaces.- 11. Calculus of subspaces.- 12. Dimension of a subspace.- 13. Dual spaces.- 14. Brackets.- 15. Dual bases.- 16. Reflexivity.- 17. Annihilators.- 18. Direct sums.- 19. Dimension of a direct sum.- 20. Dual of a direct sum.- 21. Quotient spaces.- 22. Dimension of a quotient space.- 23. Bilinear forms.- 24. Tensor products.- 25. Product bases.- 26. Permutations.- 27. Cycles.- 28. Parity.- 29. Multilinear forms.- 30. Alternating forms.- 31. Alternating forms of maximal degree.- II. Transformations.- 32. Linear transformations.- 33. Transformations as vectors.- 34. Products.- 35. Polynomials.- 36. Inverses.- 37. Matrices.- 38. Matrices of transformations.- 39. Invariance.- 40. Reducibility.- 41. Projections.- 42. Combinations of pro¬jections.- 43. Projections and invariance.- 44. Adjoints.- 45. Adjoints of projections.- 46. Change of basis.- 47. Similarity.- 48. Quotient transformations.- 49. Range and null-space.- 50. Rank and nullity.- 51. Transformations of rank one.- 52. Tensor products of transformations.- 53. Determinants.- 54. Proper values.- 55. Multiplicity.- 56. Triangular form.- 57. Nilpotence.- 58. Jordan form.- III. Orthogonality.- 59. Inner products.- 60. Complex inner products.- 61. Inner product spaces.- 62. Orthogonality.- 63. Completeness.- 64. Schwarz's inequality.- 65. Complete orthonormal sets.- 66. Projection theorem.- 67. Linear functionals.- 68. Parentheses versus brackets.- 69. Natural isomorphisms.- 70. Self-adjoint transformations.- 71. Polarization.- 72. Positive transformations.- 73. Isometries.- 74. Change of orthonormal basis.- 75. Perpendicular projections.- 76. Combinations of perpendicular projections.- 77. Complexification.- 78. Characterization of spectra.- 79. Spectral theorem.- 80. Normal transformations.- 81. Orthogonal transformations.- 82. Functions of transformations.- 83. Polar decomposition.- 84. Commutativity.- 85. Self-adjoint transformations of rank one.- IV. Analysis.- 86. Convergence of vectors.- 87. Norm.- 88. Expressions for the norm.- 89. Bounds of a self-adjoint transformation.- 90. Minimax principle.- 91. Convergence of linear transformations.- 92. Ergodic theorem.- 93. Power series.- Appendix. Hilbert Space.- Recommended Reading.- Index of Terms.- Index of Symbols.",4,[64],{"ResourceMode":59,"ContentAudience":43,"ResourceVersion":65,"ResourceContentType":37},[66],{"ResourceForm":41,"ResourceLink":67,"ResourceVersionFeature":68},"http://images.lb.ca/scans/93/9780387900933.jpg",{"FeatureValue":69,"ResourceVersionFeatureType":37},"D502",{"Imprint":71,"Publisher":74,"SalesRights":75,"PublishingDate":77,"PublishingStatus":62,"CopyrightStatement":80,"ROWSalesRightsType":43},{"ImprintName":15,"ImprintIdentifier":72},{"IDValue":73,"IDTypeName":45,"ImprintIDType":37},5821,{"PublisherName":15,"PublishingRole":37},{"Territory":76,"SalesRightsType":37},{"CountriesIncluded":31},[78],{"Date":79,"PublishingDateRole":37},19740101,{"CopyrightYear":81},2058,{"Extent":83,"Measure":86,"Subject":96,"Language":100,"NoEdition":54,"Collection":103,"Contributor":111,"ProductForm":116,"TitleDetail":117,"IllustrationsNote":121,"ProductComposition":43,"CountryOfManufacture":122},[84],{"ExtentType":43,"ExtentUnit":59,"ExtentValue":85},202,[87,90,92],{"MeasureType":37,"Measurement":88,"MeasureUnitCode":89},9.25,"in",{"MeasureType":41,"Measurement":91,"MeasureUnitCode":89},6.1,{"MeasureType":93,"Measurement":94,"MeasureUnitCode":95},8,2.31,"lb",[97],{"MainSubject":54,"SubjectCode":98,"SubjectSchemeIdentifier":99},"MAT000000",10,[101],{"LanguageCode":102,"LanguageRole":37},"eng",{"TitleDetail":104,"CollectionType":99},[105],{"TitleType":99,"TitleElement":106},[107],{"TitleElementLevel":41,"TitleWithoutPrefix":108},{"#text":109,"@_textcase":110},"Undergraduate Texts in Mathematics","01",[112],{"KeyNames":113,"PersonName":12,"NamesBeforeKey":114,"SequenceNumber":37,"ContributorRole":115},"Halmos","P.R.","A01","BB",[118],{"TitleType":37,"TitleElement":119},[120],{"TitleElementLevel":37,"TitleWithoutPrefix":7},"VIII, 202 p.","US",[124,125,127],{"IDValue":53,"ProductIDType":41},{"IDValue":126,"ProductIDType":59},9780387900933,{"IDValue":126,"ProductIDType":128},15,{"IDValue":47,"RecordSourceIDType":48},"9780387900933",1607734,"2026-02-21T09:04:00+00:00","2026-04-03T02:20:59.067+00:00",[135],{"id":136,"available":25,"condition":137,"marketplace":122,"lowest_price":138,"total_quantity":37,"inventory_items":139},"9971f358-68cd-4572-8aea-58a4aba6d847","acceptable",23.39,[140],{"id":141,"sku":142,"price":138,"quantity":37,"marketplace":122,"source_type":143,"last_synced_at":144,"inventory_source":145},"5a78785c-a5ea-4a48-9d6a-ebfe9933ac90","E8405BAC-4FF8-4437-977D-D31E9127C1FB","sp_api","2026-03-17T21:55:41.131+00:00",{"name":146},"BOOKDEPOT99",{"id":5,"name":148,"created_at":149,"display_name":10,"schema_org_type":150,"attribute_schema":151,"identifier_label":168},"book","2026-03-02T03:13:32.239851+00:00","Book",{"pages":152,"author":155,"binding":158,"edition":160,"language":162,"publisher":164,"publication_year":166},{"type":153,"label":154},"number","Pages",{"type":156,"label":157,"required":25},"string","Author",{"type":156,"label":159},"Binding",{"type":156,"label":161},"Edition",{"type":156,"label":163,"default":14},"Language",{"type":156,"label":165},"Publisher",{"type":153,"label":167},"Publication Year","ISBN"]