Algebraic and topological inclusion

GT · science forum beginner Joined: 06 Oct 2005 Posts: 4

Hi,

let X and Y' be Banach spaces. Can anybody provide me with the
definition of algebraic and topologica inclusion of X into Y'?
This question arises because I want to apply a compactness lemma by
Aubin, which requires some inclusions between Banach spaces. In my
case, X is a function space, and Y' is the dual of another function
space Y. In the case I am dealing with, there are many ways to identify
an element in X with an element of Y'.
Thank you in advance.

joe

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