Open Access
| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 30, Number 5, October 2025
|
|
|---|---|---|
| Page(s) | 479 - 489 | |
| DOI | https://doi.org/10.1051/wujns/2025305479 | |
| Published online | 04 November 2025 | |
-
Bai Z F, Du S P. Maps preserving products XY-YX
on von Neumann algebras[J]. Journal of Mathematical Analysis and Applications, 2012, 386(1): 103-109.
[Google Scholar]
-
Cui J L, Li C K. Maps preserving product XY-YX
on factor von Neumann algebras[J]. Linear Algebra and Its Applications, 2009, 431(5/6/7): 833-842.
[Google Scholar]
-
Dai L Q, Lu F Y. Nonlinear maps preserving Jordan
-products[J]. Journal of Mathematical Analysis and Applications, 2014, 409(1): 180-188.
[Google Scholar]
-
Huo D H, Zheng B D, Liu H Y. Nonlinear maps preserving Jordan triple η-
-products[J]. Journal of Mathematical Analysis and Applications, 2015, 430(2): 830-844.
[Google Scholar]
-
Li C J, Chen Q Y, Wang T. Nonlinear maps preserving the Jordan triple
-product on factor von Neumann algebras[J]. Chinese Annals of Mathematics, Series B, 2018, 39(4): 633-642.
[Google Scholar]
-
Li C J, Lu F Y, Fang X C. Nonlinear mappings preserving product XY+YX
on factor von Neumann algebras[J]. Linear Algebra and Its Applications, 2013, 438(5): 2339-2345.
[Google Scholar]
-
Li C J, Lu F Y. Nonlinear maps preserving the Jordan triple 1-
-product on von Neumann algebras[J]. Complex Analysis and Operator Theory, 2017, 11(1): 109-117.
[Google Scholar]
-
Li C J, Lu F Y, Wang T. Nonlinear maps preserving the Jordan triple
-product on von Neumann algebras[J]. Annals of Functional Analysis, 2016, 7(3): 496-507.
[Google Scholar]
-
Zhao F F, Li C J. Nonlinear maps preserving the Jordan triple
-product between factors[J]. Indagationes Mathematicae, 2018, 29(2): 619-627.
[Google Scholar]
-
Yu W Y, Zhang J H. Nonlinear
-Lie derivations on factor von Neumann algebras[J]. Linear Algebra and Its Applications, 2012, 437(8): 1979-1991.
[Google Scholar]
-
Jing W. Nonlinear
-Lie derivations of standard operator algebras[J]. Quaestiones Mathematicae, 2016, 39(8): 1037-1046.
[Google Scholar]
-
Taghavi A, Rohi H, Darvish V. Non-linear
-Jordan derivations on von Neumann algebras[J]. Linear and Multilinear Algebra, 2016, 64(3): 426-439.
[Google Scholar]
- Zhang F J. Nonlinear skew Jordan derivable maps on factor von Neumann algebras[J]. Linear and Multilinear Algebra, 2016, 64(10): 2090-2103. [CrossRef] [MathSciNet] [Google Scholar]
-
Li C J, Lu F Y, Fang X C. Non-linear ξ-Jordan
-derivations on von Neumann algebras[J]. Linear and Multilinear Algebra, 2014, 62(4): 466-473.
[CrossRef]
[MathSciNet]
[Google Scholar]
- Li C J, Zhao F F, Chen Q Y. Nonlinear skew Lie triple derivations between factors[J]. Acta Mathematica Sinica, English Series, 2016, 32(7): 821-830. [Google Scholar]
-
Fu F Y, An R L. Equivalent characterization of
-derivations on von Neumann algebras[J]. Linear and Multilinear Algebra, 2019, 67(3): 527-541.
[Google Scholar]
-
Zhao F F, Li C J. Nonlinear
-Jordan triple derivations on von Neumann algebras[J]. Mathematica Slovaca, 2018, 68(1): 163-170.
[Google Scholar]
-
Lin W H. Nonlinear
-Lie-type derivations on von Neumann algebras[J]. Acta Mathematica Hungarica, 2018, 156(1): 112-131.
[Google Scholar]
-
Lin W. Nonlinear
-Lie-type derivations on standard operator algebras[J]. Acta Mathematica Hungarica, 2018, 154(2): 480-500.
[Google Scholar]
- Yang Z J, Zhang J H. Nonlinear maps preserving mixed Lie triple products on factor von Neumann algebras[J]. Annals of Functional Analysis, 2019, 10(3): 325-336. [Google Scholar]
- Yang Z J, Zhang J H. Nonlinear maps preserving the second mixed Lie triple products on factor von Neumann algebras[J]. Linear and Multilinear Algebra, 2020, 68(2): 377-390. [Google Scholar]
-
Zhou Y, Yang Z J, Zhang J H. Nonlinear mixed Lie triple derivations on prime
-algebras[J]. Communications in Algebra, 2019, 47(11): 4791-4796.
[Google Scholar]
-
Li C, Zhang D. Nonlinear mixed Jordan triple
-derivations on
-algebras[J]. Siberian Mathematical Journal, 2022, 63(4): 735-742
[Google Scholar]
- Ferrero M, Haetinger C. Higher derivations of semiprime rings[J]. Communications in Algebra, 2002, 30(5): 2321-2333. [Google Scholar]
- Nowicki A. Inner derivation of higher orders[J]. Tsukuba Journal of Mathematics, 1984, 8(2): 219-225. [Google Scholar]
- Wei F, Xiao Z K. Higher derivations of triangular algebras and its generalizations[J]. Linear Algebra and Its Applications, 2011, 435(5): 1034-1054. [Google Scholar]
- Xiao Z K, Wei F. Nonlinear Lie higher derivations on triangular algebras[J]. Linear and Multilinear Algebra, 2012, 60(8): 979-994. [Google Scholar]
- Qi X F, Hou J C. Lie higher derivations on nest algebras[J]. Communications in Mathematical Research, 2010, 26(2): 131-143. [Google Scholar]
-
Zhang F J, Qi X F, Zhang J H. Nonlinear
-Lie higher derivations on factor von Neumann algebras[J]. Bulletin of the Iranian Mathematical Society, 2016, 42(3): 659-678.
[MathSciNet]
[Google Scholar]
-
Ashraf M, Ahmad Wani B, Wei F. Multiplicative
-Lie triple higher derivations of standard operator algebras[J]. Quaestiones Mathematicae, 2019, 42(7): 857-884.
[Google Scholar]
-
Ahmad Wani B, Ashraf M, Lin W H. Multiplicative
-Jordan type higher derivations on von Neumann algebras[J]. Quaestiones Mathematicae, 2020, 43(12): 1689-1711.
[Google Scholar]
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