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Weak-convergence
New post in Weak-convergence
If a sequence converges weakly in a closed subspace $M$ of a Banach space, then the (strong) limit point is in $M$.
August 1st, 2022
weak-convergence
real-analysis
functional-analysis
Weak limits and subsequences
August 1st, 2022
weak-convergence
hilbert-spaces
functional-analysis
Weak convergence in $C[0,1]$
August 1st, 2022
functional-analysis
hilbert-spaces
measure-theory
real-analysis
weak-convergence
Convergence in distribution - Gamma distribution
August 1st, 2022
probability-distributions
weak-convergence
convergence-divergence
Relation between convergence in distribution and weak convergence
August 1st, 2022
analysis
weak-convergence
probability-theory
measure-theory
Weak convergence and weak convergence of time derivatives
October 6th, 2020
functional-analysis
weak-convergence
weak-derivatives
Probability Theory: On weak convergence of distribution functions.
August 1st, 2022
weak-convergence
probability
probability-theory
probability-distributions
Does weak convergence in $W^{1,p}$ imply strong convergence in $L^q$?
May 19th, 2020
sobolev-spaces
weak-convergence
lp-spaces
normed-spaces
Show that convergence in probability implies uniformly bounded (under certain assumptions)
October 26th, 2020
random-variables
weak-convergence
probability-theory
Conditions for convergence of moments
July 20th, 2020
probability
weak-convergence
convergence-divergence
uniform-integrability
Weak lower semicontinuity of an integral of a convex function
August 1st, 2022
weak-convergence
functional-analysis
weak convergence of product of weakly and strongly convergent $L^{2}$ sequences in $L^{2}$
July 10th, 2020
weak-convergence
real-analysis
functional-analysis
sobolev-spaces
closed-graph
What is the difference between weak topology and strong topology?
August 1st, 2022
normed-spaces
real-analysis
functional-analysis
operator-theory
weak-convergence
If $X_n$ converges to $X$ in probability, then for $f$ continuous, then $f(X_n)$ converges in probability to $f(X)$
August 5th, 2020
weak-convergence
continuity
probability
weak convergence in $L^2$ / $C$ ==> pointwise convergence
November 7th, 2020
weak-convergence
functional-analysis
convergence-divergence
Convergence of product of (weakly) converging sequences in $L^{p}$
August 1st, 2022
weak-convergence
sequences-and-series
convergence-divergence
Weak convergence in Hilbert space implies strong convergence of averages for some subsequence
August 1st, 2022
weak-convergence
functional-analysis
hilbert-spaces
weak convergence implies point-wise convergence?
April 9th, 2020
functional-analysis
real-analysis
weak-convergence
convergence-divergence
measure-theory
Strong convergence from weak convergence
August 1st, 2022
weak-convergence
functional-analysis
hilbert-spaces
Why is the weak limit of the derivatives the derivative of the weak limit here?
April 17th, 2020
weak-derivatives
weak-convergence
partial-differential-equations
calculus-of-variations
Sobolev, Holder, Lp spaces continuous and compact embeddings proof
August 7th, 2020
lp-spaces
weak-convergence
sobolev-spaces
functional-analysis
holder-spaces
weakly convergent subsequence implies strongly convergent
April 7th, 2020
functional-analysis
weak-convergence
convergence-divergence
analysis
What is the Conditional law?
September 2nd, 2020
weak-convergence
conditional-probability
probability-theory
Application of Slutsky's Theorem
October 31st, 2020
weak-convergence
central-limit-theorem
probability-theory
probability
convergence-divergence
Correctness of proof that weak convergence implies pointwise convergence in C([0,1])
August 1st, 2022
weak-convergence
functions
functional-analysis
Marginal convergence in distribution implies joint convergence of a subsequence?
August 1st, 2022
probability-distributions
asymptotics
weak-convergence
Compactness of the trace operator
August 1st, 2022
sobolev-spaces
compact-operators
weak-convergence
A simple proof of the Portmanteau Theorem
December 23rd, 2020
expected-value
random-variables
continuity
weak-convergence
Weak Convergence If and Only If (Pointwise) Convergence of Characteristic Function
March 1st, 2021
characteristic-functions
probability-theory
weak-convergence
probability-distributions
probability
Weak convergence in Hilbert space L2 implies convergence in distribution?
September 8th, 2020
weak-convergence
hilbert-spaces
probability
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