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22h
revised Continuity of a stochastic process
parenthesis fixed
1d
answered Continuity of a stochastic process
2d
answered Is this infinite-dimensional normed linear space a complete one?
Aug
29
awarded  Yearling
Aug
28
comment Is there a name for operators of the type $A: M \to M$
In any category a morphism $f:X\to X$ is called an endomorphism.
Aug
26
answered How is Baire category theorem used here?
Aug
25
answered A closed subspace of a separable Hilbert Space is Separable
Aug
25
comment Derivative of mollification
$\partial^\alpha(u*v)=(\partial^\alpha u)*v$ is true for all Schwartz distributions such that one of them has compact support.
Aug
22
comment Sufficient condition for a infinite countable or non-countable intersection of open sets is equal to an open set.
Usually, it is difficult for the intersection to be open. Consider for example a decreasing sequence of open intervalls $O_n=(a_n,b_n)$ where $a_n$ is increasing and $b_n$ decreasing (and $\sup a_n < \inf b_n$).
Aug
21
comment Prove the Lipschitz constant must be less than 1.
You can make the Lipschitz constant as small as you like. Strictly smaller than $1$ is needed for the Banach contraction principle.
Aug
21
comment Prove the Lipschitz constant must be less than 1.
If $D$ is small enough, then $|f(c)-y_0|$ is very small which leads to small $|F_{y_0}'(c)|$.
Aug
16
comment A claim in Krengel's book on Ergodic Theorems.
$T (v)=zv $ is not necessarily true but $u((zI-T)(v))=0$.
Aug
16
answered A claim in Krengel's book on Ergodic Theorems.
Aug
15
answered Does there exists an approximate identity in Fréchet algebra $\mathcal{S}(\mathbb R)$?
Aug
15
comment Equivalent Norms for Intermediate Subspaces
Perhaps you should give the definition of the "intermediate spaces".
Aug
15
comment Equivalent Norms for Intermediate Subspaces
The modulus of continuity should be $\sup\limits_{h\le t} \|[T(h)-I]f\|$.
Aug
14
comment Prove that all terms of a sequence of functions are convex.
It's okay. Since $(e^x)^{1/n}= e^{x/n}$ your calculation of the second derivative can be shortened.
Aug
14
answered Unit vectors in locally convex spaces
Aug
5
comment Additional assumptions on function to ensure uniform convergence
The formula $f(x)-f(u_nx)=\int_{u_n}^1 f'(tx)xdt$ is not yet a condition, but it shows that, e.g., boundedness of $|f'(x) x|$ would be sufficient.
Aug
5
comment The minimizer of a bounded continuous function over a closed set lies within the set?
What do you mean by "distance between $K$ and $X$"? Be careful with "the minimizer": Quite often, an infimum is not atteined.