The algebra A(E)

被引：0

作者：

Sabra, Ramadan ^{[1
]}

机构：

[1] Jazan Univ, Dept Math, Fac Sci, POB 2097, Jazan, Saudi Arabia

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2017年 / 11卷 / 02期

关键词：

Localy convex algebra; Distribution; Algebra;

D O I：

10.1016/j.jtusci.2015.09.005

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Given a locally convex algebra E, we shall construct a vector space A(E) on which multiplication is defined on it. We will show the multiplication so defined on A(E) is associative and that there is a natural embedding of the sets E and its dual space E* in to the vector space A(E). This embedding allows to carryover the operations (linear and bilinear) defined on E and E* to the algebra A(E). Finally we discussed and derive some results about A(E) when E= S(R), the space of functions of rapid decay. (C) 2015 The Author. Production and hosting by Elsevier B.V. on behalf of Taibah University.

引用

页码：290 / 293

页数：4