bio  website  math.unitrier.de/~wengenroth 

location  Universität Trier  
age  47  
visits  member for  3 years, 3 months 
seen  19 hours ago  
stats  profile views  1,412 
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 "xdimensional" 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 JordanHahn decomposition? For realvalued 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? 