Regularity of Bounded Tri-Linear Maps and the Fourth Adjoint of a Tri-Derivation

Author(s):

Abotaleb Sheikhali * , Ali Ebadian , Kazem Haghnejad Azar

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

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.

* The formula is not displayed correctly.

Keywords:

Fourth adjoint , Regular , Tri-derivation , Tri-linear

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:5 Issue: 1, Winter and Spring 2020
Pages:
51 to 65
https://www.magiran.com/p2129176