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Jochen
  • Member for 9 years, 10 months
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16 votes
Accepted

Finite dimensional subspace of $C([0,1])$

12 votes
Accepted

Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed.

11 votes
Accepted

Question about sum of l'p spaces

11 votes
Accepted

If $f(x) + f'(x) + f''(x) \to A$ as $x \to \infty$, then show that $f(x) \to A$ as $x \to \infty$

10 votes
Accepted

If $M=M^{\perp\perp}$ for every closed subspace $M$ of a pre-Hilbert space then $H$ is complete

9 votes
Accepted

Topologies of test functions and distributions

9 votes
Accepted

If $T: X \to Y$ is norm-norm continuous then it is weak-weak continuous

9 votes
Accepted

Convergence in distrubution sense and convergence of distribution to a distrubution.

8 votes
Accepted

if number of extreme points of $B_X$ is finite, then $X$ is of finite dimensional?

7 votes
Accepted

Density of test functions in the space of distributions -- a clarification

7 votes
Accepted

Extension of character in Banach algebras

7 votes

A relative compactness criterion in $\ell^p$

7 votes
Accepted

Prove or disprove : If $E[Y|X]=X$, $E[X|Y]=Y$, and both $E[X^2]\mbox{ and }E[Y^2]$ are finite, then $P[X=Y]=1$.

6 votes
Accepted

Do sequences fully specify the topology of $\mathcal{D}(\Omega)$ and $\mathcal{D}'(\Omega)$?

6 votes
Accepted

Are $C^k[0,1]$, with the $C^k$ norm, distinct as Banach spaces?

6 votes

Is "assignment" a canonical term in math?

6 votes
Accepted

Counter-example for closed mapping theorem in normed spaces

5 votes
Accepted

Krein-Milman theorem and dividing pizza with toppings

5 votes
Accepted

Continuous semi-norms on subspace

5 votes

Is $X^*$ complete with weak*-topology

5 votes

Sequential continuity implies continuity in the weak topology on a normed space

5 votes
Accepted

Continuity of a stochastic process

5 votes

How many surjections are there from a set of 3 elements onto a set of 2 elements?

5 votes

Proving $C_c^\infty(\Omega)$ is not complete

5 votes
Accepted

compactness in the space of analytic functions

5 votes
Accepted

Closed and open sets through a function between metric spaces

4 votes
Accepted

Give an example of distribution $u \in \mathcal{D}'((0,+\infty)) $ that is not extendible to $\mathbb{R}$

4 votes
Accepted

Bounded linear map which is not continuous

4 votes
Accepted

L^p convergence => a.e. convergence?

4 votes
Accepted

How to inter change of norm and limit in the Banach algebra?

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