Banach modules and comodules of Banach coalgebras

Suppose A is a Banach coalgebra. A Banach space X is considered as a Banach comodule over A and then as a Banach A -module with module operations φ1 and φ2. When X = A, it will be shown that the convolution product of Banach algebra A , equals to both operations φ 1 and φt t 2 . Then some relations among these operations and some dual of them are investigated.

کلیدواژه ها:

Banach coalgebra ، Banach module ، Banach algebra ، comodule.