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Left Derivable Maps at Non-Trivial Idempotents on Nest Algebras

Open Access
|Jul 2019

References

  1. [1] F.F. Bonsall and J. Duncan, Complete normed algebras, Springer-Verlag, Berlin, 1973.10.1007/978-3-642-65669-9
  2. [2] M. Brěsar, Characterizations of derivations on some normed algebras with involution, J. Algebra 152 (1992), 454–462.10.1016/0021-8693(92)90043-L
  3. [3] M. Brěsar, Characterizing homomorphisms, derivations and multipliers in rings with idempotents, Proc. Roy. Soc. Edinburgh. Sect. A 137 (2007), 9–21.10.1017/S0308210504001088
  4. [4] M. Brěsar and J. Vukman, On left derivations and related mappings, Proc. Amer. Math. Soc. 110 (1990), 7–16.10.1090/S0002-9939-1990-1028284-3
  5. [5] K.R. Davidson, Nest Algebras, Pitman Res. Notes in Math., vol. 191, Longman, London, 1988.
  6. [6] B. Fadaee and H. Ghahramani, Jordan left derivations at the idempotent elements on reflexive algebras, Publ. Math. Debrecen 92 (2018), 261–275.10.5486/PMD.2018.7785
  7. [7] H. Ghahramani, Additive mappings derivable at non-trivial idempotents on Banach algebras, Linear Multilinear Algebra 60 (2012), 725–742.10.1080/03081087.2011.628664
  8. [8] H. Ghahramani, On centralizers of Banach algebras, Bull. Malays. Math. Sci. Soc. 38 (2015), 155–164.10.1007/s40840-014-0011-2
  9. [9] H. Ghahramani, Characterizing Jordan maps on triangular rings through commutative zero products, Mediterr. J. Math. 15 (2018), Art. 38, 10 pp., DOI: 10.1007/s00009-018-1082-3.10.1007/s00009-018-1082-3
  10. [10] N.M. Ghosseiri, On Jordan left derivations and generalized Jordan left derivations of matrix rings, Bull. Iranian Math. Soc. 38 (2012), 689–698.
  11. [11] J.C. Hou and X.L. Zhang, Ring isomorphisms and linear or additive maps preserving zero products on nest algebras, Linear Algebra Appl. 387 (2004), 343–360.10.1016/j.laa.2004.02.032
  12. [12] J.K. Li and J. Zhou, Jordan left derivations and some left derivable maps, Oper. Matrices 4 (2010), 127–138.10.7153/oam-04-06
  13. [13] N.K. Spanoudakis, Generalizations of certain nest algebra results, Proc. Amer. Math. Soc. 115 (1992), 711–723.10.1090/S0002-9939-1992-1097353-6
  14. [14] J. Vukman, On left Jordan derivations of rings and Banach algebras, Aequationes Math. 75 (2008), 260–266.10.1007/s00010-007-2872-z
  15. [15] B. Zalar, On centralizers of semiprime rings, Comment. Math. Univ. Carolin. 32 (1991), 609–614.
  16. [16] J. Zhu and C.P. Xiong, Derivable mappings at unit operator on nest algebras, Linear Algebra Appl. 422 (2007), 721–735.10.1016/j.laa.2006.12.002
DOI: https://doi.org/10.2478/amsil-2019-0001 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 97 - 105
Submitted on: Jan 14, 2018
Accepted on: Feb 10, 2019
Published on: Jul 18, 2019
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2019 Hoger Ghahramani, Saman Sattari, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.