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Jordan maps on operator algebras and Jordan ideal

Author: LiuZhongYan
Tutor: JiPeiSheng
School: Qingdao University
Course: Basic mathematics
Keywords: Jordan algebra Jordan map Additivity Triangular algebras Jordan ideal ц1 finite factors
CLC: O177.1
Type: Master's thesis
Year: 2009
Downloads: 12
Quote: 0
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Abstract


Jordan ideal structure of operator algebras above Jordan maps and operator algebras in recent years has been a hot research for the special operator algebra - Jordan algebra B (H) s the map can be added above Jordan is worthy of study . Let B (H) s H on all bounded linear self-adjoint operator a real linear space , B (H ) < Jordan plot o defined sub> s B for any Jordan algebra the main objective of the first part of this study from the operator Algebra B (H) s < / sub> B, Jordan mapping using special Jordan algebra B (H) the s symmetrical structure and purely algebraic the Pierce decomposition methods to prove if φ from B (H ) s < / sub> B the bijective and mapping Jordan , φ is added some important operator algebra Jordan ideal combination of the relationship between the ideal people have been engaged in research . because it reveals the various operators algebraic structure is of great significance . based on the special structure of the triangular algebra Ⅱ 1 finite factors , the second part of this article on weak operator topology closed Jordan ideal combination ideal .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis > Hilbert space and linear operator theory
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