bio | website | |
---|---|---|
location | ||
age | ||
visits | member for | 3 years, 1 month |
seen | 20 hours ago | |
stats | profile views | 153 |
Feb 6 |
revised |
Possible restrictions on generators of $M_n(\mathbb{C})$
added 65 characters in body |
Feb 6 |
awarded | Commentator |
Feb 6 |
asked | Possible restrictions on generators of $M_n(\mathbb{C})$ |
Feb 6 |
comment |
Centralizer in a matrix algebra over commutative polynomials
Thank you. With this approach we are able to answer the question in affirmative. |
Dec 19 |
asked | Centralizer in a matrix algebra over commutative polynomials |
Jan 10 |
comment |
Centralizers in C*-algebra
But it holds a+b=1, so b=f(a). |
Jan 6 |
comment |
Centralizers in C*-algebra
I am interested in the situation of general $C^*$-algebras, and some "nontrivial" correspondence between $a$ and $b$. Since the correspondence in $B(H)$ is quite "strong", I expected that something nonobvious can be said also in general $C^*$-algebras. |
Jan 5 |
comment |
Centralizers in C*-algebra
Since the condition trivially holds if A is commutative, we exclude that case. In the noncommutative case, does it hold the same correspondence as in $B(H)$? |
Jan 4 |
comment |
Centralizers in C*-algebra
Yes, I am assuming that a and b are self-adjoint. Sorry for the mistake and thank you for pointing it out. |
Jan 4 |
revised |
Centralizers in C*-algebra
added 11 characters in body |
Jan 4 |
asked | Centralizers in C*-algebra |
Oct 30 |
comment |
positive hermitian elements in $M_n(\mathbb{C})$
I cannot find the question in Halmos books. There were some other useful information. Thank you. For case $n=2$, might Mathematica be able to compute this? |
Oct 29 |
comment |
positive hermitian elements in $M_n(\mathbb{C})$
But $x^∗ax$ is also hermitian matrix if $a$ is. So $x^∗Px⊂P$, and $x^∗M_n(\mathbb{C})x=M_n(\mathbb{C})$ iff $x$ is invertible. So $x^∗Px$ either does not satisfy (iv) or equals $P$. |
Oct 29 |
asked | positive hermitian elements in $M_n(\mathbb{C})$ |
May 31 |
awarded | Editor |
May 31 |
accepted | spectra of sums in (Banach) algebras |
May 31 |
revised |
spectra of sums in (Banach) algebras
added 308 characters in body; added 14 characters in body; added 56 characters in body; added 32 characters in body |
May 31 |
awarded | Supporter |
May 6 |
asked | spectra of sums in (Banach) algebras |
Mar 7 |
awarded | Scholar |