bio | website | math.wustl.edu/~nweaver |
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location | ||
age | ||
visits | member for | 3 years, 2 months |
seen | 3 hours ago | |
stats | profile views | 5,695 |
Jun 29 |
comment |
Shared maximum eigenvector
@DavidHandelman: maybe require $A$ and $B$ to be positive? I'm unsure whether the "maximum" eigenvalue is allowed to be negative ... |
Jun 29 |
comment |
Shared maximum eigenvector
The question is unclear. Are they real matrices? (Otherwise what do you mean by "largest" --- largest in absolute value?) What kind of condition would you want? |
Jun 24 |
comment |
An estimate for the maximal C* norm in the group algebra of a free group
You mean "every element of $C[F]$", right? Could you clarify the "it is easy to see" computation. It seems like in the case where $a = a(g)$ for a single $g$ you are saying that the operator norm of a matrix must exceed its trace ... I must be confused about something. |
Jun 11 |
comment |
Is the Jordan decomposition of a self-adjoint functional constructive?
Mmm, although the proof I have in mind only gets $\phi$ as a difference of positive bounded linear functionals, without the uniqueness or the norm equality. |
Jun 11 |
comment |
Is the Jordan decomposition of a self-adjoint functional constructive?
It may depend on your definition of C*-algebra. I think I can do this if I know that for every self-adjoint $x \in A$ and $\epsilon > 0$ there is a state $f$ with $f(x) \geq \|x\| - \epsilon$. If C*-algebras are defined concretely as algebras of operators then this is trivial using vector states, but if they are defined abstractly maybe you need Hahn-Banach. |
Jun 2 |
reviewed | Approve $\Sigma_1$ elementary substructure |
May 24 |
awarded | Nice Answer |
May 13 |
answered | Isometric imbedding of finite metric space into standards spaces |
May 4 |
reviewed | Reject riemannian-geometry tag wiki |
May 1 |
answered | Banach-Stone Theorem in Lipschitz-free spaces |
Apr 23 |
awarded | Yearling |
Apr 20 |
answered | Existence of state on a C*-algebra satisfying $|\tau(ab)|=\|ab\|$ |
Apr 17 |
comment |
Momentum a cotangent vector
@DavidRoberts: I think you're reading something into the question. It looks to me like the OP is just being cautious ... |
Apr 8 |
comment |
Norm of a matrix operator with a special structure
@Suvrit: it is hard to read "tone" from printed text ... it always surprises me when people can't tell I'm being sarcastic, for example |
Apr 8 |
comment |
Norm of a matrix operator with a special structure
@Suvrit: it's not positive because it's not self-adjoint. |
Mar 30 |
comment |
Is $\mathcal{P}(\omega)/fin$ with the interval topology path-connected?
Oh, I misread the definition, sorry. |
Mar 30 |
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Is $\mathcal{P}(\omega)/fin$ with the interval topology path-connected?
According to your definition of "interval topology", it looks as though every subbasic open set is also closed, in any poset ... |
Mar 23 |
awarded | Nice Answer |
Mar 23 |
comment |
What are the applications of operator algebras to other areas?
@YemonChoi: +10 for "Atiyah is a dense point in mathematics" |
Mar 23 |
comment |
What are the applications of operator algebras to other areas?
Huh. No, I haven't encountered this. But no doubt negativity towards other fields is fairly common --- I can be guilty of this myself --- though I suppose I feel it's something one shouldn't take too seriously. That's just human nature. |