Abstract:
Introducing the concept of string resulted in a vector space one important step for further Functional Analysis. This made possible the availability of the most important results of this field in other classes spaces. Moreover through the strings was reached to simplified further the validations which became more natural and more elementary.In this material will be treated quotient space and direct sum of Topological Vector Space as inductive limit. It will also be treated a very important theorem on there lationship between inductive limit with the direct sum and the quotient space.
