Linearization of holomorphic semicocycles in Banach spaces

被引：0
|
作者：
Elin, Mark [1 ]
Jacobzon, Fiana [1 ]
Katriel, Guy [1 ]
机构：
[1] Ort Braude Coll, Dept Math, IL-21982 Karmiel, Israel
来源：
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2019年 / 10卷 / 01期
关键词：
Holomorphic mapping; generated semigroup; Cauchy problem; linearization problem; SEMIGROUPS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider holomorphic semicocycles on the open unit ball in a Banach space taking values in a Banach algebra (studied previously in [8,9]). We establish criteria for a semicocycle to be linearizable, that is, cohomologically equivalent to one independent of the spatial variable.
引用
收藏
页码：145 / 164
页数：20
相关论文
共 50 条
  • [41] Amenability and nonlinear flows in dual Banach spaces
    Salame, Khadime
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (02)
  • [42] Open sets with the Runge property in Banach spaces
    Mujica, Jorge
    Zerhusen, Aaron
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (01) : 384 - 391
  • [43] Matrix multiplication operators on Banach function spaces
    H. Hudzik
    Rajeev Kumar
    Romesh Kumar
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2006, 116 : 71 - 81
  • [44] Asymptotics of evolution equations beyond Banach spaces
    Jacob, B.
    Wegner, S. -A.
    SEMIGROUP FORUM, 2015, 91 (02) : 347 - 377
  • [45] Asymptotic periodicity for some evolution equations in Banach spaces
    Agarwal, Ravi P.
    Cuevas, Claudio
    Soto, Herme
    El-Gebeily, Mohamed
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (05) : 1769 - 1798
  • [46] A Note on the Global Solutions of the Cauchy Problem in Banach Spaces
    Daria Bugajewska
    Acta Mathematica Hungarica, 2000, 88 : 341 - 346
  • [47] EXISTENCE OF WEAK SOLUTIONS FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES
    Fan Jinjun
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2009, 3 (02): : 115 - 122
  • [48] On the fixed point property for orbital contractions in Banach spaces
    Redjel, Najeh
    Dehici, Abdelkader
    JOURNAL OF ANALYSIS, 2022, 30 (02): : 621 - 635
  • [49] Univalent Subordination Chains in Reflexive Complex Banach Spaces
    Graham, Ian
    Hamada, Hidetaka
    Kohr, Gabriela
    Kohr, Mirela
    COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS V, 2013, 591 : 83 - 111
  • [50] The method of integrated semigroups for the Cauchy problems in Banach spaces
    I. V. Mel'nikova
    Siberian Mathematical Journal, 1999, 40
12345