What is the condition in unbounded oprerators?

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Homework Statement


T1, T2 and T3 are unbounded operators.
p_221jef11.png

What is this condition?
http://T[SUB]1[/SUB]
3. The Attempt at a Solution [/B]
T2 is the identity operator and D(T3)⊂D(T1) / D is the domain of definition.
 
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smati said:

Homework Statement


T1, T2 and T3 are unbounded operators.
p_221jef11.png

What is this condition?
http://T[SUB]1[/SUB]
3. The Attempt at a Solution [/B]
https://scontent-mrs1-1.xx.fbcdn.net/t31.0-8/13958240_283354382042877_6744203050697608959_o.jpg
 
Last edited by a moderator:

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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