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时间:2019-06-25
《Von+Neumann代数上保Jordan_乘积的映射》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、硕士学位论文论文题目VonNeumann代数上保Jordan*乘积的映射研究生姓名代立青指导教师姓名陆芳言专业名称基础数学研究方向算子代数论文提交日期2013-4-10AX!q[?u*{fq[RHGi6?pZFWwi3s8,S,Fd5.>$CZ&)℄l,W7a+i<>$%2、$t)6ÆU.#F?!-+i8>,$3>%Zh'vZ.ipZ&3、V4j.rb:k`RSigTH/,y> 8t)W2,WBFe3}.WE℄l89=W℄l#;.+e4B4、0 >4o.> >4A~7'E o>4~1`_E2:o FW*'D8E,1W080,%)(' '5、WF5b:k`sb:k`Á‡A´*-“ê,´š"ê.éA;B2A,½ÂJordan--¦È:A}B=AB+BA.©Ì‡ïÄvonNeumann“êþJordan--¦ÈN,y²Xe(J.A;B´vonNeumann“ê…Ù¥ƒ˜vk¥%†ÝK,V:A!B¦(T}S)=(T)}(S)é?¿T;S2A,K(1)62Rž,•Ó;(2)2Rž,•Ó†ÝÓÚ.'…cµJordan--¦ÈN,vonNeum6、ann,Ó.Šö:“á“•“:º•ó(Ç)IAbstractMapspreservingJordan*-productonvonNeumannalgebrasMapspreservingJordan*-productonvonNeumannalgebrasAbstractLetbeanon-zeroscalar.Inthispaper,weinvestigateabijectivemapfromavonNeumannalgebraAwithoutcentralabelianproject7、ionsontoanothervonNeumannalgebrasatisfying(AB+BA)=(A)(B)+(B)(A)forallA;B2A.Itisshowedthatisalinear*-isomorphismifisnotrealandisasumofalinear*-isomorphismandaconjugatelinear*-isomorphismifisreal.Keywords:mapspreserving--product,vonNeumann8、algebras,isomorphism.WrittenbyDailiqingSupervisedbyProf.LuFangyanII8¹1˜!ÚóÚý•£...................................................11!Jordan*¦ÈNŒ5....................................31n!Jordan*¦ÈN‚5......................................9ë•©z..9、.............................................................21—...................................................................23vonNeumann“êþJordan*¦ÈN1˜!ÚóÚý•£1˜!ÚóÚý•£A´*-“ê,´š"ê.éA;B2A,½ÂAÚBJordan--¦È•A}B=AB+BA.Jordan(-1)--¦È,•¡•10、Øé¡(skew)¦È,®2•ïÄ.§g,/Ñy3^ŒV‚5¼êL«g¼ê¯K(„[15{17])9nŽ•x¯K¥(„[5,14]).l*-“êABN¡•Jordan--¦È,XJª(A}B)=(A)}(B)é¤kA;B2A¤á.SdÚûAA3©[1]¥y²Hilbert˜mþ¤kk.‚5Žf/¤“êmJordan(-1)--¦ÈV´˜‡‚5*-Ó½ö´˜‡Ý‚5*-Ó.ù‡(JwïêÚo“1[6]í2Ïfvon
2、$t)6ÆU.#F?!-+i8>,$3>%Zh'vZ.ipZ&
3、V4j.rb:k`RSigTH/,y> 8t)W2,WBFe3}.WE℄l89=W℄l#;.+e4B
4、0 >4o.> >4A~7'E o>4~1`_E2:o FW*'D8E,1W080,%)(' '5、WF5b:k`sb:k`Á‡A´*-“ê,´š"ê.éA;B2A,½ÂJordan--¦È:A}B=AB+BA.©Ì‡ïÄvonNeumann“êþJordan--¦ÈN,y²Xe(J.A;B´vonNeumann“ê…Ù¥ƒ˜vk¥%†ÝK,V:A!B¦(T}S)=(T)}(S)é?¿T;S2A,K(1)62Rž,•Ó;(2)2Rž,•Ó†ÝÓÚ.'…cµJordan--¦ÈN,vonNeum6、ann,Ó.Šö:“á“•“:º•ó(Ç)IAbstractMapspreservingJordan*-productonvonNeumannalgebrasMapspreservingJordan*-productonvonNeumannalgebrasAbstractLetbeanon-zeroscalar.Inthispaper,weinvestigateabijectivemapfromavonNeumannalgebraAwithoutcentralabelianproject7、ionsontoanothervonNeumannalgebrasatisfying(AB+BA)=(A)(B)+(B)(A)forallA;B2A.Itisshowedthatisalinear*-isomorphismifisnotrealandisasumofalinear*-isomorphismandaconjugatelinear*-isomorphismifisreal.Keywords:mapspreserving--product,vonNeumann8、algebras,isomorphism.WrittenbyDailiqingSupervisedbyProf.LuFangyanII8¹1˜!ÚóÚý•£...................................................11!Jordan*¦ÈNŒ5....................................31n!Jordan*¦ÈN‚5......................................9ë•©z..9、.............................................................21—...................................................................23vonNeumann“êþJordan*¦ÈN1˜!ÚóÚý•£1˜!ÚóÚý•£A´*-“ê,´š"ê.éA;B2A,½ÂAÚBJordan--¦È•A}B=AB+BA.Jordan(-1)--¦È,•¡•10、Øé¡(skew)¦È,®2•ïÄ.§g,/Ñy3^ŒV‚5¼êL«g¼ê¯K(„[15{17])9nŽ•x¯K¥(„[5,14]).l*-“êABN¡•Jordan--¦È,XJª(A}B)=(A)}(B)é¤kA;B2A¤á.SdÚûAA3©[1]¥y²Hilbert˜mþ¤kk.‚5Žf/¤“êmJordan(-1)--¦ÈV´˜‡‚5*-Ó½ö´˜‡Ý‚5*-Ó.ù‡(JwïêÚo“1[6]í2Ïfvon
5、WF5b:k`sb:k`Á‡A´*-“ê,´š"ê.éA;B2A,½ÂJordan--¦È:A}B=AB+BA.©Ì‡ïÄvonNeumann“êþJordan--¦ÈN,y²Xe(J.A;B´vonNeumann“ê…Ù¥ƒ˜vk¥%†ÝK,V:A!B¦(T}S)=(T)}(S)é?¿T;S2A,K(1)62Rž,•Ó;(2)2Rž,•Ó†ÝÓÚ.'…cµJordan--¦ÈN,vonNeum
6、ann,Ó.Šö:“á“•“:º•ó(Ç)IAbstractMapspreservingJordan*-productonvonNeumannalgebrasMapspreservingJordan*-productonvonNeumannalgebrasAbstractLetbeanon-zeroscalar.Inthispaper,weinvestigateabijectivemapfromavonNeumannalgebraAwithoutcentralabelianproject
7、ionsontoanothervonNeumannalgebrasatisfying(AB+BA)=(A)(B)+(B)(A)forallA;B2A.Itisshowedthatisalinear*-isomorphismifisnotrealandisasumofalinear*-isomorphismandaconjugatelinear*-isomorphismifisreal.Keywords:mapspreserving--product,vonNeumann
8、algebras,isomorphism.WrittenbyDailiqingSupervisedbyProf.LuFangyanII8¹1˜!ÚóÚý•£...................................................11!Jordan*¦ÈNŒ5....................................31n!Jordan*¦ÈN‚5......................................9ë•©z..
9、.............................................................21—...................................................................23vonNeumann“êþJordan*¦ÈN1˜!ÚóÚý•£1˜!ÚóÚý•£A´*-“ê,´š"ê.éA;B2A,½ÂAÚBJordan--¦È•A}B=AB+BA.Jordan(-1)--¦È,•¡•
10、Øé¡(skew)¦È,®2•ïÄ.§g,/Ñy3^ŒV‚5¼êL«g¼ê¯K(„[15{17])9nŽ•x¯K¥(„[5,14]).l*-“êABN¡•Jordan--¦È,XJª(A}B)=(A)}(B)é¤kA;B2A¤á.SdÚûAA3©[1]¥y²Hilbert˜mþ¤kk.‚5Žf/¤“êmJordan(-1)--¦ÈV´˜‡‚5*-Ó½ö´˜‡Ý‚5*-Ó.ù‡(JwïêÚo“1[6]í2Ïfvon
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