Title of article :
Close-to-Regularity of Bounded Tri-Linear Maps
Author/Authors :
Sheikhali ، Abotaleb , Haghnejad azar ، Kazem Department of Mathematics and Applications - University of Mohaghegh Ardabili , Ebadian ، Ali Department of Mathematics - University of Urmia
Abstract :
Let 𝑓 : 𝑋 × 𝑌 × 𝑍 → W be a bounded trilinear 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 give a simple criterion for the close-to-regularity of tri-linear maps.
Keywords :
Arens regularity , Aron , Berner regular , Close , to , regular
Journal title :
Global Analysis and Discrete Mathematics
Journal title :
Global Analysis and Discrete Mathematics
