On the manifold of complemented principal inner ideals in JB*-triples

被引：2
|
作者：
Isidro, Jose M. [1 ]
Stacho, Laszlo L.
机构：
[1] Fac Matemat, Santiago De Compostela, Spain
[2] Bolyai Inst, H-6720 Szeged, Hungary
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2006年 / 57卷
关键词：
D O I：
10.1093/qmath/hal001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The set M of Neher's classes of tripotents in an arbitrary JB*-triple Z is considered and a natural complex-analytic Banach manifold structure is defined on it. The relationship between M and the Grassmann manifold of all complemented principal inner ideals in Z is studied in detail, and the smooth complete vector fields on M are characterized as smooth complete equivariant vector fields on the manifold M of tripotents of Z.
引用
收藏
页码：505 / 525
页数：21
相关论文
共 50 条
  • [31] On summing operators on JB*-triples
    Peralta, AM
    MANUSCRIPTA MATHEMATICA, 2001, 105 (02) : 265 - 281
  • [32] On the stability of θ-derivations on JB*-triples
    Baak, Choonkil
    Moslehian, Mohammad Sal
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2007, 38 (01): : 115 - 127
  • [33] The density property for JB*-triples
    Dineen, S
    Mackey, M
    Mellon, P
    STUDIA MATHEMATICA, 1999, 137 (02) : 143 - 160
  • [34] Contractive perturbations in JB*-triples
    Fernandez-Polo, Francisco J.
    Martinez Moreno, Juan
    Peralta, Antonio M.
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2012, 85 : 349 - 364
  • [35] The fixed point property in JB*-triples and preduals of JBW*-triples
    Becerra Guerrero, Julio
    Rambla-Barreno, Fernando
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (01) : 254 - 264
  • [36] REPRESENTING TRIPLES OF A SYMPLECTIC MANIFOLD
    KARRER, G
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (03) : 370 - 374
  • [37] BOUNDED DERIVATIONS OF JB-TRIPLES
    BARTON, TJ
    FRIEDMAN, Y
    QUARTERLY JOURNAL OF MATHEMATICS, 1990, 41 (163): : 255 - 268
  • [38] Orthogonality preservers in C*-algebras, JB*-algebras and JB*-triples
    Burgos, Maria
    Fernandez-Polo, Francisco J.
    Garces, Jorge J.
    Martinez Moreno, Juan
    Peralta, Antonio M.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 220 - 233
  • [39] C-IDEALS IN COMPLEMENTED POSETS
    Chajda, Ivan
    Kolarik, Miroslav
    Langer, Helmut
    MATHEMATICA BOHEMICA, 2024, 149 (03): : 305 - 316
  • [40] Complemented ideals in A(Rd) of algebraic curves
    Vogt, Dietmar
    ARCHIV DER MATHEMATIK, 2009, 92 (05) : 531 - 537
12345