Answer to Question #40829 in Functional Analysis for waqas

Question #40829

(Linear extension) Let Z be a proper subspace of an n-dimensional
vector space X, and let f be a linear fimctional on Z Show that f can
be extended linearly to X, that is, there is a linear functioned f on X
such that f ̃|z =f

Expert's answer

Download Answer

Learn more about our help with Assignments: Functional Analysis

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Funds flow analysis represents a stock to flow linkage.” – Justify
2. If $T\in\mathcal{B}(X,Y)$ is not compact can the restriction of $T$ to an infinite dimensional subs
3. If $T\in\mathcal{B}(X,Y)$ is not compact can the restriction of $T$ to an infinite dimensional subs
4. if T belongs to b(X,Y) is not compact can the restriction of T to an infinite dimensional subspace o
5. What are the largest and smallest values of 2x + y on the circle x^2 + y^2 = 1? Where do these value
6. Given the constants c and d, please find the largest and smallest values of cx + dy taken over all p
7. Find the product (x+y+z)(1/x+1/y+1/z) and deduce that the least value of this product, over non-nega