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

Who Can Help Me with My Assignment

There are three certainties in this world: Death, Taxes and Homework Assignments. No matter where you study, and no matter…
How to Finish Assignments When You Can’t

Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for.…
How to Effectively Study for a Math Test

Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…