Millionaire Mode

Hilbert Spaces

Question 1 of 14

Let $H$ be a Hilbert space. Which of the following is NOT a property of the inner product $\langle \cdot, \cdot \rangle$ on $H$?

  1. It is linear in the first argument.
  2. It is conjugate linear in the second argument.
  3. It is positive definite.
  4. It is bounded.

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000