CLOSE-TO-REGULARITY OF BOUNDED TRI-LINEAR MAPS

Author(s):

Abotaleb Sheikhali * , Kazem Haghnejad Azar , Ali Ebadian

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

Let $f:Xtimes Ytimes Zlongrightarrow W $ be a bounded tri-linear map on normed spaces. We say that $f$ is close-to-regular when $f^{t****s}=f^{s****t}$ and we say that $f$ is Aron-Berner regular when all natural extensions are equal. In this manuscript, we have some results on the close-to-regular maps and investigate the close-to-regularity of tri-linear maps.

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Keywords:

Arens regularity , Aron-Berner regular , Close-to-regular

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:6 Issue: 1, Summer and Autumn 2021
Pages:
33 to 39
https://www.magiran.com/p2311734