A local property of derivations on Jordan-Banach algebras

被引：1
|
作者：
Villena, AR [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 03期
关键词：
derivations; Jordan-Banach algebras; Singer-Wermer conjecture;
D O I：
10.1081/AGB-100001684
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let D be a (possibly unbounded) derivation on a complex Jordan-Banach algebra J. We show that if a is an element of J and D(2)a = 0, then Da is quasinilpotent.
引用
收藏
页码：1295 / 1300
页数：6
相关论文
共 50 条
  • [31] Zel'manov's theorem for primitive Jordan-Banach algebras
    Garcia, MC
    Galindo, AM
    Palacios, AR
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1998, 57 : 231 - 244
  • [32] Trace and spectrum preserving linear mappings in Jordan-Banach algebras
    Bernard Aupetit
    Monatshefte für Mathematik, 1998, 125 : 179 - 187
  • [33] Trace and spectrum preserving linear mappings in Jordan-Banach algebras
    Aupetit, B
    MONATSHEFTE FUR MATHEMATIK, 1998, 125 (03): : 179 - 187
  • [34] JORDAN-BANACH ALGEBRA SOCLES
    AUPETIT, B
    BARIBEAU, L
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1989, 41 (06): : 1090 - 1100
  • [35] SPECTRAL CHARACTERIZATION OF MODULAR ANNIHILATOR COMPLEX NONCOMMUTATIVE JORDAN-BANACH ALGEBRAS
    BENSLIMANE, M
    PALACIOS, AR
    JOURNAL OF ALGEBRA, 1991, 140 (02) : 344 - 354
  • [36] Continuity of Generalized Jordan Derivations on Semisimple Banach Algebras
    Gholampour, Mohammad
    Hejazian, Shirin
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) : 3273 - 3287
  • [37] Jordan and Lie derivations of φ-Johnson amenable Banach algebras
    Ghahramani, Hoger
    Zamani, Parvin
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [38] APPROXIMATE QUATERNARY JORDAN DERIVATIONS ON BANACH QUATERNARY ALGEBRAS
    Gordjil, M. Eshaghi
    Rassias, J. M.
    Ghaemi, M. B.
    Alizadeh, B.
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2011, 6 (03): : 361 - 375
  • [39] Continuity of Generalized Jordan Derivations on Semisimple Banach Algebras
    Mohammad Gholampour
    Shirin Hejazian
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 3273 - 3287
  • [40] Approximate ternary Jordan derivations on Banach ternary algebras
    Savadkouhi, M. Bavand
    Gordji, M. Eshaghi
    Rassias, J. M.
    Ghobadipour, N.
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (04)
12345