2,915 reputation
931
bio website math.uni-trier.de/~wengenroth
location Universität Trier
age 47
visits member for 3 years, 3 months
seen 19 hours ago
I am Professor for Mathematics at the Unversität Trier (Germany)

1d
revised topology of setwise convergence of measures
corrected spelling
2d
answered topology of setwise convergence of measures
May
11
revised Relation between dual of nuclear space $(\substack{\text{lim} \\ \leftarrow i} H_i)'$ and $\substack{\text{colim} \\ i \rightarrow } H_i$
Explanantion added.
May
7
answered Relation between dual of nuclear space $(\substack{\text{lim} \\ \leftarrow i} H_i)'$ and $\substack{\text{colim} \\ i \rightarrow } H_i$
May
6
comment Orthogonal complements of intersections of closed subspaces
On the other hand, the theorem of bipolars implies that $(H_1\cap \cdots \cap H_n)^\perp$ is always the closure of the sums of the orthogonal complements.
May
6
comment constant rank theorem for banach spaces
@TomekKania You are of course right. Replying to Benjamin's comment I though of Hilbert spaces.
May
5
comment constant rank theorem for banach spaces
I meant no countable Hamel basis, of course you can have a countable Schauder basis. I believe, that "x-dimensional" usually refers to Hamel bases. Having a countable Schauder basis is equivalent to separability.
May
4
comment constant rank theorem for banach spaces
There are no countable dimensional Banach spaces.
Apr
6
comment $\mathcal S(\mathbb R^n) \hat \otimes_\pi \mathcal S(\mathbb R^m) \simeq \mathcal S(\mathbb R^{n+m})$?
Grothendieck called the $\varepsilon$ tensor topology injective. The inductive topology is still finer and even for nuclear spaces it may be different from the injective one.
Mar
23
awarded  Necromancer
Mar
23
revised Is Schauder's Conjecture Resolved?
arXiv link added
Mar
23
answered Is Schauder's Conjecture Resolved?
Mar
20
revised Is a Fréchet Montel space distinguished?
corrected spelling
Mar
20
comment Is this a sufficient condition for joint normal distribution?
A quick proof is by Fourier transformation.
Mar
19
comment Topological properties of space of Radon measures
Did you try something with the Jordan-Hahn decomposition? For real-valued measures you would have a continuous surjection $M_+\times M_+ \to M$, $(\nu,\mu)\mapsto \nu-\mu$.
Mar
19
comment Topological properties of space of Radon measures
Why is the subset of positive measures polish? I believe that the set of probability measures is polish.
Mar
19
answered Is a Fréchet Montel space distinguished?
Mar
19
comment Is this a sufficient condition for joint normal distribution?
That $C$ is positve semi definite follows from the assumption. One has to allow variance $0$ for a normal distribution (which is then a Dirac measure).
Mar
17
comment Monotonicity of a ratio of conditional expectation operator
By "over a finite product" you probably mean "with values in"?
Mar
17
comment Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it?
Don't you need uniformly continuous functions to get uniform convergence?