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arXiv · 1905.10719

Regularity of bounded tri-linear and the fourth adjiont of tri-derivation

A. Ebadian·K. Haghnejad Azar·A. Sheikhali
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Abstract

In this Article, we give a simple criterion for the regularity of a tri-linear mapping. We provide if $f:X\times Y\times Z\longrightarrow W $ is a bounded tri-linear mapping and $h:W\longrightarrow S$ 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 the fourth adjoint $D^{***}$ of a tri-derivation $D$ is again tri-derivation.

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A. Ebadian, K. Haghnejad Azar, A. Sheikhali. 2019-05-26. Regularity of bounded tri-linear and the fourth adjiont of tri-derivation. https://arxiv.org/abs/1905.10719

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