Multiplicative bi-skew Jordan triple derivations on prime β-algebra
-
Abdul Nadim Khan
and
Husain Alhazmi
Abstract
Let π be a prime β-algebra.
For any
Funding source: King Abdulaziz University
Award Identifier / Grant number: (G-224-662-1442)
Funding statement: This work was supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia, under grant No. (G-224-662-1442). The authors, therefore, gratefully acknowledge DSR technical and financial support.
Acknowledgements
We are grateful to the referee whose comments helped improve the exposition.
References
[1] M. N. Daif, When is a multiplicative derivation additive?, Int. J. Math. Math. Sci. 14 (1991), no. 3, 615β618. 10.1155/S0161171291000844Search in Google Scholar
[2] D. Huo, B. Zheng and H. Liu, Nonlinear maps preserving Jordan triple π-β-products, J. Math. Anal. Appl. 430 (2015), no. 2, 830β844. 10.1016/j.jmaa.2015.05.021Search in Google Scholar
[3] W. Jing, Nonlinear β-Lie derivations of standard operator algebras, Quaest. Math. 39 (2016), no. 8, 1037β1046. 10.2989/16073606.2016.1247119Search in Google Scholar
[4] A. N. Khan, Multiplicative biskew Lie triple derivations on factor von Neumann algebras, Rocky Mountain J. Math. 51 (2021), no. 6, 2103β2114. 10.1216/rmj.2021.51.2103Search in Google Scholar
[5] L. Kong and J. Zhang, Nonlinear bi-skew Lie derivations on factor von Neumann algebras, Bull. Iranian Math. Soc. 47 (2021), no. 4, 1097β1106. 10.1007/s41980-020-00430-5Search in Google Scholar
[6] C. Li and F. Lu, Nonlinear maps preserving the Jordan triple 1-β-product on von Neumann algebras, Complex Anal. Oper. Theory 11 (2017), no. 1, 109β117. 10.1007/s11785-016-0575-ySearch in Google Scholar
[7] C. Li, F. Lu and X. Fang, Non-linear π-Jordan *-derivations on von Neumann algebras, Linear Multilinear Algebra 62 (2014), no. 4, 466β473. 10.1080/03081087.2013.780603Search in Google Scholar
[8] C. Li, F. Lu and T. Wang, Nonlinear maps preserving the Jordan triple β-product on von Neumann algebras, Ann. Funct. Anal. 7 (2016), no. 3, 496β507. 10.1215/20088752-3624940Search in Google Scholar
[9] T. Ning and J. H. Zhang, Nonlinear mixed π-Jordan triple derivable maps on factor von Neumann algebras, Acta Math. Sinica (Chin. Ser.) 63 (2020), no. 4, 319β328. Search in Google Scholar
[10] A. Taghavi, M. Nouri, M. Razeghi and V. Darvish, Non-linear π-Jordan triple β-derivation on prime β-algebras, Rocky Mountain J. Math. 48 (2018), no. 8, 2705β2716. 10.1216/RMJ-2018-48-8-2705Search in Google Scholar
[11] A. Taghavi, H. Rohi and V. Darvish, Non-linear *-Jordan derivations on von Neumann algebras, Linear Multilinear Algebra 64 (2016), no. 3, 426β439. 10.1080/03081087.2015.1043855Search in Google Scholar
[12] W. Yu and J. Zhang, Nonlinear β-Lie derivations on factor von Neumann algebras, Linear Algebra Appl. 437 (2012), no. 8, 1979β1991. 10.1016/j.laa.2012.05.032Search in Google Scholar
Β© 2023 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- The second cohomology spaces of π¦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On BusemannβFeller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime β-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded HardyβKrause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- πΏπ(β ) β πΏπ(β ) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
Articles in the same Issue
- Frontmatter
- The second cohomology spaces of π¦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On BusemannβFeller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime β-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded HardyβKrause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- πΏπ(β ) β πΏπ(β ) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
