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2d
comment adjoint of this closed (?) operator
I think this question belongs on math.stackexchange.
Jan
10
comment A set intersecting the graph of any continuous function in a finite set
@LisaK: the generalization is this. If $X$ contains such a configuration, then identify it with ${\bf N}$ and define $f$ as in my other answer. Let $f$ be zero off the configuration. A cluster point of a set $A$ is a point $x$ every neighborhood of which has infinite intersection with $A$.
Jan
3
comment The monotone closure of a $C^*$-algebra
Nice answer. I didn't know that problem was open.
Jan
2
comment Are there any serious investigations of whether “mathematicians do their best work when they're young”?
As I read this article, I kept noticing how free it was of gross misconceptions about mathematics. Of course, it turns out that the author is a mathematician ...
Dec
31
revised Isomorphism of Hilbert modules
added 116 characters in body
Dec
31
comment Isomorphism of Hilbert modules
@Todd --- the subtlety is that we don't know $\langle x,x\rangle = \langle Tx, Tx\rangle$ --- then Alex's answer would work --- we only know $\|\langle x,x\rangle\|_B = \|\langle Tx, Tx\rangle\|_B$. The "inner product" on a Hilbert module takes values in a C*-algebra, but the norm is still a scalar.
Dec
30
answered Isomorphism of Hilbert modules
Dec
29
reviewed Approve hypercube tag wiki excerpt
Dec
15
reviewed Approve Models of intuitionistic linear logic that reflect the resource interpretation
Dec
9
comment applications of C$^*$-algebras in the field of PDEs
I disagree with the decision to close this question. I'm not aware of a large body of applications of C*-algebra to PDEs. Could any of those who voted to close suggest other examples besides mine?
Dec
8
awarded  Enlightened
Dec
8
awarded  Nice Answer
Dec
8
reviewed Edit Self-dual automorphic forms on $GL(4)$
Dec
8
revised Self-dual automorphic forms on $GL(4)$
Corrections
Dec
6
reviewed Approve applications of C$^*$-algebras in the field of PDEs
Dec
6
answered applications of C$^*$-algebras in the field of PDEs
Dec
1
comment Extend product sigma-algebra to cross-constant sets
You are welcome!
Dec
1
comment Extend product sigma-algebra to cross-constant sets
I refer to a theorem of Banach and Kuratowski.
Dec
1
comment Extend product sigma-algebra to cross-constant sets
@Jochen: no, the axiom of choice excludes a translation-invariant measure on [0,1].
Dec
1
comment Extend product sigma-algebra to cross-constant sets
(Minor typo in condition 2: surely you mean $A \subseteq \Omega$.)