On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds

被引:0
作者
Isidro, Jose E. M. [1 ]
机构
[1] Fac Matemat, Santiago De Compostela, Spain
来源
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2007年 / 5卷 / 04期
关键词
classical symmetric complex Banach manifolds; JB*-triples; Cartan factors; Banach-Lie algebras; complete holomorphic vector fields;
D O I
10.2478/s11533-007-0028-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Banach-Lie algebras h(kappa)of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (kappa = 1) and non compact type (kappa = -1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of h(kappa) is studied. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.
引用
收藏
页码:696 / 709
页数:14
相关论文
共 20 条
  • [1] BOUNDED DERIVATIONS OF JB-TRIPLES
    BARTON, TJ
    FRIEDMAN, Y
    [J]. QUARTERLY JOURNAL OF MATHEMATICS, 1990, 41 (163) : 255 - 268
  • [2] BELTITA D, 2001, OPER THEOR, V120, P1
  • [3] LIE AND JORDAN STRUCTURES IN BANACH ALGEBRAS
    CIVIN, P
    YOOD, B
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1965, 15 (03) : 775 - &
  • [4] Conway J. B., 2000, A course in operator theory
  • [5] THE CENTROID OF A JB-STAR-TRIPLE SYSTEM
    DINEEN, S
    TIMONEY, RM
    [J]. MATHEMATICA SCANDINAVICA, 1988, 62 (02) : 327 - 342
  • [6] LIE AND JORDAN IDEALS OF OPERATORS ON HILBERT-SPACE
    FONG, CK
    MIERS, CR
    SOUROUR, AR
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 84 (04) : 516 - 520
  • [7] FONG CK, 1987, ACTA SCI MATH, V51, P441
  • [8] Harris LA., 1974, LECT NOTES MATH, P13
  • [9] Herves FJ, 1992, REV MAT COMPLUT, V5, P193
  • [10] Derivations on real and complex JB*-triples
    Ho, T
    Martinez-Moreno, J
    Peralta, AM
    Russo, B
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2002, 65 : 85 - 102