Answer to Question #44671 in Functional Analysis for fatemeh

Functional Analysis

Question #44671

Let f be a linear functional on the Hilbert space X . let N be the null space of f . show that if f is not continues , then N ̅=X .

Expert's answer

Answer in progress...

Learn more about our help with Assignments: Functional Analysis

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Let M be a sequence of the Hilbert space x . prove that M is dense in x iff ( Y⊥ M ⟹
2. the range of function, f(x)=x^3-1/x-1
3. A height of a shotput can be modelled by the function H = -4.9t2 + 8t + 1.5 where H is the height in
4. verify the equality: |u+v|2+|u−v|2=2|u|2+2|v|2, and. derive the theorem:the sum of the square so f
5. What is the norm of the operator K from C[0, 1] into itself, if K is defined by K (f )(s) = ∫ log
6. Let X be the set of all real-valued functions x on the interval [0,1], and let x≦y mean that x(t)
7. Prove that a finite partially ordered set A has at least one maximal element.