On the properties of the Aron-Berner regularity of bounded tri-linear maps

Neda Akhlaghi, Kazem Haghnejad Azar, Abotaleb Sheikhali

Let $f:X\times Y\times Z⟶W$ be a bounded tri-linear map on normed spaces. We say that $f$ is close-to-regular when $f^{t\ast \ast \ast \ast s}=f^{s\ast \ast \ast \ast t}$ and $f$ is Aron-Berener r…