318 reputation
16
bio website
location
age
visits member for 2 years, 4 months
seen May 14 at 5:44
stats profile views 67

Apr
17
comment If $Lat(\mathcal{A})$ is trivial then $\mathcal{A}'$ consists of scalars.
This argument is incorrect. $\text{Im} T$ need not be closed. A solution for this problem should use the resolution of the identity associated with $T$.
Apr
16
asked Bounded Operator with Closed Range
Apr
13
awarded  Popular Question
Mar
18
accepted Projection on Tensor Product of Hilbert Space
Mar
18
comment Projection on Tensor Product of Hilbert Space
I see. Thanks, again.
Mar
18
comment Projection on Tensor Product of Hilbert Space
Thanks for the clarification. I've added a second projection to my original question. For $e_2$, do you take $\{ \oplus_{l=1}^n (v_l \otimes v_l) \}$ as your basis? The symbol $\oplus$ is confusing me.
Mar
18
revised Projection on Tensor Product of Hilbert Space
added 163 characters in body
Mar
18
comment Projection on Tensor Product of Hilbert Space
What do you mean by $\left|w \otimes v_k \right\rangle$ and $\left\langle w \otimes v_k \right|$?
Mar
18
asked Projection on Tensor Product of Hilbert Space
Mar
18
accepted $*$-homomorphism between matrix algebras
Mar
17
comment $*$-homomorphism between matrix algebras
@BranimirĆaćić: I see it. Anyway, your answer and comments are greatly appreciated.
Mar
17
comment $*$-homomorphism between matrix algebras
@BranimirĆaćić: Wow, that is more complicated than I thought! I'll try to relate your argument, if that's somehow possible, with the original $\theta$ in my question. Thanks for your help.
Mar
17
comment $*$-homomorphism between matrix algebras
@BranimirĆaćić: Let me now rephrase my question using your last comment. How do you go about proving that you only have those two possibilities? How do you show the existence of a unit matrix (inner automorphism) that will send any other possibility back to either $\theta(A)$ or $\theta'(A)$. I apologize if this is trivial, but I simply don't see it.
Mar
17
revised $*$-homomorphism between matrix algebras
added 68 characters in body
Mar
17
comment $*$-homomorphism between matrix algebras
@BranimirĆaćić: Exactly, I was about to point that out (I'll edit my question accordingly). Do you have any insight in this one? I'd really appreciate it since I haven't managed to understand it.
Mar
17
revised $*$-homomorphism between matrix algebras
added 91 characters in body
Mar
17
revised $*$-homomorphism between matrix algebras
added 91 characters in body
Mar
17
asked $*$-homomorphism between matrix algebras
Mar
15
accepted Separable reducing subspace of a representation
Mar
12
comment Separable reducing subspace of a representation
@JonasMeyer: I've edited my question appropriately, I hope.