In this Article, we give a simple criterion for the regularity of a tri-linear mapping. We provide if f : X × Y × Z −→ W is a bounded tri-linear mapping and h : W −→ S is a bounded linear mapping, then f is regular if and only if hof is regular. We also shall give some necessary and sufficient conditions such that the fourth adjoint D∗∗∗∗ of a tri-derivation D is again tri-derivation.
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Sheikhali, A., Ebadian, A., & Haghnejad Azar, K. (2020). Regularity of Bounded Tri-Linear Maps and the Fourth Adjoint of a Tri-Derivation. Analytical and Numerical Solutions for Nonlinear Equations, 5(1), 51-65. doi: 10.22128/gadm.2020.358.1028
MLA
Abotaleb Sheikhali; Ali Ebadian; kazem Haghnejad Azar. "Regularity of Bounded Tri-Linear Maps and the Fourth Adjoint of a Tri-Derivation", Analytical and Numerical Solutions for Nonlinear Equations, 5, 1, 2020, 51-65. doi: 10.22128/gadm.2020.358.1028
HARVARD
Sheikhali, A., Ebadian, A., Haghnejad Azar, K. (2020). 'Regularity of Bounded Tri-Linear Maps and the Fourth Adjoint of a Tri-Derivation', Analytical and Numerical Solutions for Nonlinear Equations, 5(1), pp. 51-65. doi: 10.22128/gadm.2020.358.1028
VANCOUVER
Sheikhali, A., Ebadian, A., Haghnejad Azar, K. Regularity of Bounded Tri-Linear Maps and the Fourth Adjoint of a Tri-Derivation. Analytical and Numerical Solutions for Nonlinear Equations, 2020; 5(1): 51-65. doi: 10.22128/gadm.2020.358.1028
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