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New posts in weak-convergence
Why $\sin(nx)$ converges weakly in $L^2(-\pi,\pi)$?
real-analysis
functional-analysis
hilbert-spaces
weak-convergence
Convergence in probability implies convergence in distribution
probability
probability-theory
convergence-divergence
random-variables
weak-convergence
Weak convergence, together with convergence of norms, implies strong convergence in a Hilbert space.
functional-analysis
convergence-divergence
hilbert-spaces
weak-convergence
Characterization of weak convergence in $\ell_\infty$
functional-analysis
lp-spaces
weak-convergence
filters
A question involving Lindeberg-Levy CLT
probability-theory
stochastic-processes
weak-convergence
stochastic-analysis
central-limit-theorem
Does weak convergence in $L^2$ implies convergence almost everywhere along subsequence?
functional-analysis
convergence-divergence
weak-convergence
Weak convergence in probability implies uniform convergence in distribution functions
probability-theory
convergence-divergence
uniform-convergence
weak-convergence
Schur's Theorem: In $\ell^1$ weak convergence of $x_n$ is the same as convergence in the norm
functional-analysis
lp-spaces
weak-convergence
$\ell_\infty$ is a Grothendieck space
functional-analysis
banach-spaces
weak-convergence
von-neumann-algebras
Pointwise a.e. convergence and weak convergence in Lp
functional-analysis
measure-theory
convergence-divergence
weak-convergence
Weak convergence in $L^p$ space
real-analysis
lebesgue-integral
lebesgue-measure
lp-spaces
weak-convergence
An example of distributional limit
distribution-theory
weak-convergence
Weak convergence of a sequence $(f_n) \subset L^2(\mathbb{R})$ and convergence of $\chi_n f_n$
functional-analysis
lp-spaces
weak-convergence
characteristic-functions
Proving the closed unit ball of a Hilbert space is weakly sequentially compact
general-topology
functional-analysis
hilbert-spaces
weak-convergence
Every bounded sequence has a weakly convergent subsequence in a Hilbert space
functional-analysis
hilbert-spaces
weak-convergence
Rate of Weak Convergence for a Sequence of Probability Measures
probability
measure-theory
weak-convergence
Is the weak topology sequential on some infinite-dimensional Banach space?
general-topology
functional-analysis
banach-spaces
weak-convergence
Understanding weakly dense.
functional-analysis
weak-convergence
Portmanteau theorem for vague convergence
general-topology
measure-theory
probability-theory
weak-convergence
Strong and weak convergence in $\ell^1$
functional-analysis
convergence-divergence
banach-spaces
lp-spaces
weak-convergence
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