| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5143546 | Journal of Taibah University for Science | 2017 | 4 Pages |
Abstract
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 EÂ =Â S(R), the space of functions of rapid decay.
Keywords
Related Topics
Physical Sciences and Engineering
Chemistry
Chemistry (General)
Authors
Ramadan Sabra,