On the Hereditary Properties of Triangular Banach Algebras in Terms of Module Arens Regularity

The present paper is the first attempt to investigate the hereditary properties between triangular Banach algebras and their corner Banach algebras in terms of module Arens regularity. For this purpose, we will examine the conditions under which the module Arens regularity of triangular Banach algebra T = [A MB] is obtained from the module Arens regularity of the corner algebras A and B.

کلیدواژه ها:

Arens regularity ، Module Arens regularity ، Triangular Banach algebra