AF-代数的闭的Jordan理想(英文)
Closed Jordan Ideals of AF-Algebras
摘要
讨论 AF-代数的闭的 Jordan理想 .我们证明了 AF-代数的一个闭的子集是其一
In this article, we determine the closed Jordan ideals of an AF\|algebra. We show that a closed subset of an AF\|algebra is a Jordan ideal if and only if it is an associative ideal.
出处
《应用泛函分析学报》
CSCD
2000年第3期224-227,共4页
Acta Analysis Functionalis Applicata
参考文献16
-
1GuoZM.Someexistenceandmultiplicityresultsforaclassofquasilinearellipticeigenvalueproblems[J].NonlinearAnal,1992,18(10):957~971.
-
2GuoZM.Existenceanduniquenessofpositiveradialsolutionsforaclassofquasilinearellipticequations[J].ApplAnal,1992,47:173~190.[3]GuoZM.Boundaryvalueproblemsofaclassofquasilinearordinarydifferentialequations[J].DiffIntegralEqns,1993,6(3):705~719.
-
3GuoZM,WebbJRL.Uniquenessofpositivesolutionsforquasilinearellipticequationswhenaparameterislarge[J].ProcRoyalSocEdinburgy,1994,124A:189~198.
-
4GuoZM.Onthenumberofpositivesolutionsforquasilinearellipticeigenvalueproblems[J].NonlinearAnal,1996,27(2):229~247.
-
5YangZD,GuoZM.OnthestructureofpositivesolutionsforquasilinearO.D.E.[J].ApplicableAnalysis,1995,58:31~52.
-
6DelPinoMA,ElguestM,ManasevichR.AhomotopicdeformationalongpofaLeraySchauderdegreeresultandexistencefor〖WTBX〗(|u′|p-2u′)′+f(t,u)=0,u(0)+u(T)=0,p>1〖WTBZ〗[J].JDiffEqns,1989,80:1~13.
-
7DelPinoMA,ManasevichR.Globalbifurcationfromtheeigenvaluesoftheplaplacian[J].JDiffEqns,1991,92:226~251.
-
8RenXF,WeiJC.Countingpeaksofsolutionstosomequasilinearellipticequationswithlargeexponents[J].JDiffEqns,1995,117:28~55.
-
9UbillaP.Multiplicityresultsforthe1demensionalgeneralizedpLaplacian[J].JMathAnalAppl,1995,190:611~623.
-
10JaeduckJ.OnspikesolutionsofsingularlyperturbedsemilinearDirichletproblem[J].JDiffEqns,1994,114:370~395.
-
1姚洪亮,胡善文.具有迹实秩零的C~*-代数(英文)[J].华东师范大学学报(自然科学版),2004(2):5-12. 被引量:1
-
2乔美玉.*-素环*-Jordan理想上广义导子的结果[J].佳木斯大学学报(自然科学版),2015,33(1):157-157. 被引量:2
-
3纪培胜,綦伟青,刘忠燕.Ⅱ_1型超有限因子中的三角代数的Jordan理想[J].山东大学学报(理学版),2008,43(4):6-8.
-
4刘双双,苑智莉.带有广义导子的~*-素环上的~*-Jordan理想[J].唐山师范学院学报,2016,38(5):17-20.
-
5刘双双.*-素环上同态或反同态的广义导子[J].商丘师范学院学报,2016,32(3):22-23.
-
6苑智莉.在素环上作为同态或反同态的广义导子[J].商丘师范学院学报,2017,33(3):18-19.
-
7王丰效.BCH-代数的拟结合理想和拟结合模糊理想(英文)[J].模糊系统与数学,2007,21(3):33-37. 被引量:7
-
8张建忠,傅小波,廖祖华.N(2,2,0)代数的(∈,∈∨q_(λ,μ))-模糊结合理想[J].计算机工程与应用,2014,50(12):54-58. 被引量:3
-
9黄昭波.AF-代数及其维数群的分类[J].科学通报,1992,37(20):1825-1827.
-
10严从荃,孙顺华.C(X)A上的自同构群[J].数学学报(中文版),2000,43(4):763-768.