| 陈庆.Ⅱ1空间上J-von Neumann代数的导子[J].数学年刊A辑,2009,30(2):257~264 |
| Ⅱ1空间上J-von Neumann代数的导子 |
| Derivations of J-von Neumann Algebras in Ⅱ1 |
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| DOI： |
| 中文关键词: Pontryagin空间 J-von Neumann代数 导子 |
| 英文关键词:Pontryagin space, J-von Neumann algebra, Derivation |
| 基金项目:国家自然科学基金，南阳市科技攻关计划 |
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| 中文摘要: |
| 对于Ⅱ1空间上J-von Neumann代数的导子进行了讨论,给出了Ⅱ1空间上交换J-yonNeumann代数的导子均是内导子的充要条件,对于一般情形,指出, Ⅱ1空间Ⅰ类,Ⅱb类的J-vonNeumann代数均存在外导子,对于Ⅲb类的 J-von Neumann的导子也进行了讨论. |
| 英文摘要: |
| The author discussed the derivation of J-von Neumann algebra in 1, pointed
out that every derivation of commutative J-von Neumann algebra in 1 is inner if and
only if the critical points of J-self-adjoint operators are complete regular critical points. To
non-commutative J-von Neumann algebra, it is showed that there exists outer derivation
in any non-commutative J-von Neumann algebra of the class I, IIb. Meanwhile, the author
discussed the derivation of J-von Neumann algebra of the class IIIb. |
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