| THE BANACH-LIE GROUP OF LIE TRIPLE AUTOMORPHISMS OF AN H^＊-ALGEBRA^＊ |
| |
| 引用本文： | A.J.Calderón Martín,C.Martín González. THE BANACH-LIE GROUP OF LIE TRIPLE AUTOMORPHISMS OF AN H^＊-ALGEBRA^＊[J]. 数学物理学报(B辑英文版), 2010, 30(4): 1219-1226. DOI: 10.1016/S0252-9602(10)60118-X |
| |
| 作者姓名： | A.J.Calderón Martín C.Martín González |
| |
| 作者单位： | [1]Departamento de Matemáticas, Universidad de Cádiz,11510 Puerto Real, Cádiz, Spain [2]Departamento de lgebra, Geometría y Topología, Universidad de Málaga,Apartado 59, 29080 Málaga, Spain |
| |
| 基金项目： | the PCI of the UCA 'Teoría de Lie y Teoría de Espacios de Banach' |
| |
| 摘 要： | We study the Banach-Lie group Ltaut(A) of Lie triple automorphisms of a complex associative H*-algebra A. Some consequences about its Lie algebra, the algebra of Lie triple derivations of A, Ltder(A), are obtained. For a topologically simple A, in the infinite-dimensional case we have Ltaut(A)0 = Aut(A) implying Ltder(A) = Der(A). In the finite-dimensional case Ltaut(A)0 is a direct product of Aut(A) and a certain subgroup of Lie derivations δ from A to its center, annihilating commutators.
|
| 关 键 词： | 李代数 李群 巴拿赫 同构 三联 Banach 无穷维 奥地利 |
| 收稿时间： | 2007-11-10 |
| 修稿时间： | 2008-10-07 |
THE BANACH-LIE GROUP OF LIE TRIPLE AUTOMORPHISMS OF AN H*-ALGEBRA |
| |
| A.J.Calderon Martin C. Mart,amp;#;n Gonz,amp;#;lez. THE BANACH-LIE GROUP OF LIE TRIPLE AUTOMORPHISMS OF AN H*-ALGEBRA[J]. Acta Mathematica Scientia, 2010, 30(4): 1219-1226. DOI: 10.1016/S0252-9602(10)60118-X |
| |
| Authors: | A.J.Calderon Martin C. Mart& # n Gonz& # lez |
| |
| Affiliation: | A.J.Calderon Martin C. Martín González |
| |
| Abstract: | We study the Banach-Lie group Ltaut(A) of Lie triple automorphisms of a complex associative H*-algebra A. Some consequences about its Lie algebra, the algebra of Lie triple derivations of A, Ltder(A), are obtained. For a topologically simple A, in the infinite-dimensional case we have Ltaut(A)0 = Aut(A) implying Ltder(A) = Der(A). In the finite-dimensional case Ltaut(A)0 is a direct product of Aut(A) and a certain subgroup of Lie derivations δ from A to its center, annihilating commutators. |
| |
| Keywords: | Banach-Lie group Lie triple automorphism Lie triple derivation |
| 本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录！ |
