1. I need to prove those questions:
Why the next spaces are Hilbert space?
1. R^n?
2. Q^n?
3. C^n?

2.

3. Originally Posted by Shaharhada
I need to prove those questions:
Why the next spaces are Hilbert space?
1. R^n?
2. Q^n?
3. C^n?
This should be quite obvious if you know what a Hilbert space is. It is a complete inner product space over either the real or complex field.

We will not do your class assignments for you.

4. It isn't a class-assignment.
I need a clue, how to slove it.

5. First, tell us what a Hilbert space is.

6. I need a explation what is Hilbert space.
I now the definition that it is inner product space, that every Kushi sequence is congruence sequence. The definitions "Kuhi sequence" and "congruence sequence" define by real sequences.

7. A Hilbert space is an inner product space which is complete in the norm defined by the inner product ||x||^2 = (x,x).

8. Originally Posted by Shaharhada
I need a explation what is Hilbert space.
I now the definition that it is inner product space, that every Kushi sequence is congruence sequence. The definitions "Kuhi sequence" and "congruence sequence" define by real sequences.
Cauchy sequence.

What are you trying to do.

It is quite obvious that you don't understand the fundamentals.

If this is not a class assignment then it should be. You desperately need to take a mathematics class in basic real and functional analysis.

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