Recent content by Frobenius21

Im starting to learn the subject so I am looking for resources and books with similar examples.

Im sorry, I missed the square root. What do you mean by the thing on the left/right? Do you mean the left hand side and the right hand side of the equation? Or do you mean the left and right terms in the integral?

My understanding is that the norm for T has the form ||T||2 = int (|g (t) f (t)|^2) dt Could you recommend books or resources with similar examples to the problem?

I am just not able to find a function, which maximazes the operator or a sequence of functions. Can you give me a hint if you know?

Yes, T is an operator on L^2(0,1). I was able to show it is bounded by ||g|| in L^infinity(0,1). But I don't know how to find the norm.

I don't know how to start to find the bounded condition nor the norm. I thought about finding a maximal norm to show that it is bounded but I don't know how to continue.

Thanks, I am just being ask to find a way to get the number of the sum I also used a calculator to get the result it is 3.77381 but I am being ask to use a method to get to that result.

Hi, I was just told to get the sum from n=1 to infinity of n^2/(2+1/n)^n

Thanks

Yes it should converge. There are no similar examples that I know of. I am looking in textbooks to try to find something similar.

Thanks a lot, I am asked to find the sum of the series not to show if it converges. How is possible to start with that?

I tried to write it as n^2/2^n (1+1/2n)^n But I am stuck there and don't know what to try next.Thanks for any help in advance!