| Note on Reflexive Algebras with Non—distributive Invariant Lattices |
| |
| 引用本文： | 赵君喜.Note on Reflexive Algebras with Non—distributive Invariant Lattices[J].数学季刊,1998,13(4):59-63. |
| |
| 作者姓名： | 赵君喜 |
| |
| 作者单位： | Nanjing University of Posts and Telecommunications，Nanjing，210003 |
| |
| 摘 要： | §０． ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＬｂｅａｃｏｌｌｅｃｔｉｏｎｏｆｃｌｏｓｅｄｓｕｂｓｐａｃｅｓｏｆａＨｉｌｂｅｒｔｓｐａｃｅＨｃｏｎｔａｉｎｉｎｇ｛０｝ａｎｄＨｗｈｉｃｈｆｏｒｍｓａｃｏｍｐｌｅｔｅｓｕｂｓｐａｃｅｌａｔｔｉｃｅｕｎｄｅｒｔｈｅｏｐｅｒａｔｉｏｎｓ∧（ｉｎｔｅｒｓｅｃｔｉｏｎ）ａｎｄ∨（ｃｌｏｓｅｄｌｉｎｅａｒｓｐａｎ）．ＷｅｄｅｎｏｔｅｂｙａｌｇＬｔｈｅａｌｇｅｂｒａｏｆａｌｌｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｓｗｈｉｃｈｌｅａｖｅａｌｌｓｕｂｓｐａｃｅｓｉｎＬｉ…
|
| 关 键 词： | 非分配子空间格 自反算子代数 HilBert空间 |
Note on Reflexive Algebras with Non distributive Invariant Lattices |
| |
| Zhao Junxi.Note on Reflexive Algebras with Non distributive Invariant Lattices[J].Chinese Quarterly Journal of Mathematics,1998,13(4):59-63. |
| |
| Authors: | Zhao Junxi |
| |
| Abstract: | In this note,we discuss some properties of reflexive algebras on a Hilbert space with invariant subspace lattices as realizations of the pentagon and the double triangle and give some results concerning hyperreflexivity,automorphism and finite rank operators. |
| |
| Keywords: | subspace lattice reflexive algebra hyperreflexivity |
| 本文献已被 CNKI 维普 等数据库收录！ |
