- #1

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- 4

- Homework Statement
- I wrote below what is my question exactly, no need for answer, the question is not explainable well.

- Relevant Equations
- no equations here. only defintion, which we have not learned and I dont know what norm they want...

Hi, a question regarding something I could not really understand

The question is:

Let V be a space with Norm $||*||$

Prove if $v_n$ converges to vector $v$.

and if $v_n$ converges to vector $w$

so $v=w$

and show it by defintion.

The question is simple, the thing I dont understand, what definition? what norm exactly? we learnt only norm $L^1$ and $L^2$ and $L^\infty$ which is uniform convergence.

Please tell me what I wrote above.

EDIT: I dont know how to write latex here, at MSE its with $$, here it wont work.

The question is:

Let V be a space with Norm $||*||$

Prove if $v_n$ converges to vector $v$.

and if $v_n$ converges to vector $w$

so $v=w$

and show it by defintion.

The question is simple, the thing I dont understand, what definition? what norm exactly? we learnt only norm $L^1$ and $L^2$ and $L^\infty$ which is uniform convergence.

Please tell me what I wrote above.

EDIT: I dont know how to write latex here, at MSE its with $$, here it wont work.