Hello Sir, I appreciate your efforts to make these excellent, high-level videos to teach others and share your knowledge. Lately, I've discovered your channel, and it helps me organize my understanding of math for my PhD research in quantum computing. I wanted to learn the math basics, and this serie is one of your other series that makes the mathematical concepts clear.
Consider V=C (set of complex numbers), which is a C-vector space, and if T:C -> C defined by Tz = 0, for all z, then T is a linear, bounded, compact, and a self-adjoint operator, but the norm of the operator is 0 which implies that the eigenvalues must be zero. However, these lambdas are not in C\{0}. What am I doing wrong?
New upload because I corrected a small typo :)
Thank you. Looking forward to the next video with examples and applications 😊
Hello Sir, I appreciate your efforts to make these excellent, high-level videos to teach others and share your knowledge. Lately, I've discovered your channel, and it helps me organize my understanding of math for my PhD research in quantum computing. I wanted to learn the math basics, and this serie is one of your other series that makes the mathematical concepts clear.
Thank you very much :) And thanks for your support!
Something is tickling my brain from my physics degree 13 years ago. Quantum theory?
Consider V=C (set of complex numbers), which is a C-vector space, and if T:C -> C defined by Tz = 0, for all z, then T is a linear, bounded, compact, and a self-adjoint operator, but the norm of the operator is 0 which implies that the eigenvalues must be zero. However, these lambdas are not in C\{0}. What am I doing wrong?
By the way, inner product is standard inner product for C.
@@yoyostutoring Everything is good. What exactly is your problem there?
There is a "contradiction" which is about the lambdas I talked about earlier in the comment above.
I is empty :)
@brightsideofmaths Now this solved the problem! Lmao 🤣 thanks!
is the series ended?
Not really. It continuous with unbounded operators: tbsom.de/s/uo