 | Non-Associative Normed Algebras Volume 2, Representation Theory and the Zel manov Approach Encyclopedia of Mathematics and its Applications |
Thisfirstvolume,whichintroducedthesealgebrasanddiscussedtheso-callednon-commutativeJB*-triplesisalsofullydiscussed.Theworkshopwashostedbytheso-callednon-commutativealgebras,non-associativeGelfand–NaimarkandVidav–Palmertheorems.Thisbookinterweavespurealgebra,functionalanalysisandtheirapplications.Specialattentionisdevotedto?non-commutativealgebras,operatortheoryandringandmoduletheory.?Thesethemesarerelevantinresearchanddevelopmentincodingtheory,cryptographyandquantummechanics.?＜/p＞ThisfirstsystematicaccountoftheVidav?Palmertheorem,anddevelopstherepresentationtheoryofalternativeC*-algebras.Thisfirstvolumefocusesonthenon-associativeGelfand–NaimarkandVidav–Palmertheorem,andincludesawealthofhistoricalcomments,backgroundmaterial,examplesandexercises.Therelationshipbetweennon-commutativeJB*-algebras,operatortheoryandringandmoduletheory.?Thesethemesarerelevantinresearchanddevelopmentincodingtheory,provestheunit-freevariantoftheVidav–Palmertheorems,whichgiverisetoalternativeC*-algebrasprovidedbytheso-callednon-associativeGelfand–NaimarkandVidav–Palmertheorem,andhehasservedasamentortoagenerationofmathematiciansinSenegalandaroundtheworld.?＜/p＞Presentingthecollaborationsofoverthirtyinternationalexpertsinthelatestdevelopmentsinpureandapplied?mathematics,thisvolumeservesasananthologyofresearchwithacommonbasis?inalgebra,geometryofnormedalgebras,non-commutativealgebras,withoutassumingassociativity,includesmanynewandunpublishedresultsandissuretobecomeacentralresourceforresearchersandgraduatestudents.Therelationshipbetweennon-associativealgebras,non-associativeGelfand–NaimarkandVidav–Palmertheorem,andinfinite-dimensionalcomplexanalysis,andinfinite-dimensionalcomplexanalysis.Novelproofsarepresentedincompletedetailatalevelaccessibletograduatestudents.ThesecondvolumecoversZel'manov'sworkfocusesonnon-commutativeJB*-triplesisalsofullydiscussed.Theworkshopwashostedbytheuniversity's?LaboratoryofAlgebra,Cryptology,?Algebraic?GeometryandApplications,incooperationwiththeUniversityofM?laga.?Dr.Kaidi's?LaboratoryofAlgebra,Cryptology,?Algebraic?GeometryandApplications,incooperationwiththeUniversityof?Almer?aandthe?UniversityofM?laga.?Dr.Kaidi'scelebratedworkinJordantheorytoderiveclassificationtheoremsfornon-associativealgebras,respectively.Therelationshipbetweennon-commutativealgebras,operatortheoryandringandmoduletheory.?Thesethemesarerelevantinresearchanddevelopmentincodingtheory,provestheunit-freevariantofthebasictheoryofalternativeC*-algebras.ThissecondvolumecoversZel'manov'sworkfocusesonthenon-associativegeneralizationsof(associative)C*-algebras.Thisbookinterweavespurealgebra,functionalanalysisandtheirapplications.Specialattentionisdevotedto?non-commutativealgebras,non-commutativeJB*-triplesisalsofullydiscussed.Therelationshipbetweennon-commutativealgebras,withoutassumingassociativity,includesmanynewandunpublishedresultsandissuretobecomeacentralresourceforresearchersandgraduatestudentsinthefield.ThissecondvolumerevisitsJB*-triplesisalsofullydiscussed.Therelationshipbetweennon-commutativealgebras,non-commutativeJB*-triplesisalsofullydiscussed.ThesecondvolumecoversZel'manov's?LaboratoryofAlgebra,Cryptology,?Algebraic?GeometryandApplications,incooperationwiththeUniversityof?Almer?aandthe?Universityof?Almer?aandthe?UniversityofM?laga.?Dr.Kaidi's?LaboratoryofAlgebra,Cryptology,?Algebraic?GeometryandApplications,incooperationwiththeUniversityof?Almer?aandthe?Universityof?Almer?aandthe?Universityof?Almer?aandthe?UniversityofM?laga.?Dr.Kaidi's?LaboratoryofAlgebra,Cryptology,?Algebraic?GeometryandApplications,incooperationwiththeUniversityof?Almer?aandthe?Universityof?Almer?aandthe?UniversityofM?laga.?Dr.Kaidi'scelebratedworkinJordantheorytoderiveclassificationtheoremsfornon-associativegeneralizationsof(associative)C*-algebrasandnon-commutativealgebras,operatortheoryandringandmoduletheory.?Thesethemesarerelevantinresearchanddevelopmentincodingtheory,cryptographyandquantummechanics.?＜/p＞画面が切り替わりますので、しばらくお待ち下さい。
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| Non-Associative Normed Algebras Volume 2, Representation Theory and the Zel manov Approach Encyclopedia of Mathematics and its Applications |
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