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New posts in weak-convergence
Convexity and strong lower semicontinuity imply weak lower semicontinuity
functional-analysis
convex-analysis
hilbert-spaces
weak-convergence
definition of "weak convergence in $L^1$"
probability
analysis
measure-theory
probability-theory
weak-convergence
Riemann-Lebesgue lemma: Construction of weak convergent sequences from 1-periodic function
functional-analysis
lebesgue-integral
weak-convergence
periodic-functions
Weakly Convergent Subsequence: Iff-Condition?
probability
measure-theory
convergence-divergence
weak-convergence
Does the sequence $(\sqrt{n} \cdot 1_{[0, 1/n]})_n$ converge weakly in $L^2$?
functional-analysis
hilbert-spaces
lp-spaces
weak-convergence
Convergence in distribution equivalent definition
probability-theory
weak-convergence
Weak convergence in $L^{2}(0,T;H^{-1}(\Omega))$
functional-analysis
sobolev-spaces
weak-convergence
bochner-spaces
A characterization of Weak Convergence in $L^p$ spaces
real-analysis
functional-analysis
proof-verification
lp-spaces
weak-convergence
Intuitive explanation of Lyapunov condition for CLT
probability-theory
intuition
weak-convergence
probability-limit-theorems
Weak convergence of random variables
probability-theory
random-variables
weak-convergence
Will $L^1\log L^1$ bound gives strong $L^1$ convergence?
partial-differential-equations
weak-convergence
entropy
strong-convergence
wasserstein
Convergence in distribution and in probabiliity
probability-theory
measure-theory
weak-convergence
probability-limit-theorems
uniform convergence of characteristic functions
probability-theory
weak-convergence
characteristic-functions
Uniform convergence and weak convergence
real-analysis
probability-theory
uniform-convergence
weak-convergence
Example that in a normed space, weak convergence does not implies strong convergence.
functional-analysis
hilbert-spaces
weak-convergence
Show that the sequence $x_N$ converges weakly and compute the weak limit
functional-analysis
hilbert-spaces
weak-convergence
$T$ is continuous $\iff \forall (x_1, x_2,..), x_i \in X, x_i \to^w x \implies T(x_i) \to^w T(x)$
functional-analysis
solution-verification
banach-spaces
weak-convergence
dual-spaces
Pointwise convergence in $c_0$ is not equivalent to weak convergence
banach-spaces
weak-convergence
Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence
probability-theory
random-variables
weak-convergence
characteristic-functions
A closed subspace of a reflexive Banach space is reflexive
functional-analysis
weak-convergence
duality-theorems
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