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Weak$^*$ convergence on dense subspace of Hilbert space

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#functional-analysis #hilbert-spaces #weak-convergence
234
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Divergence free property preserved under weak convergence in $L^2$

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#sobolev-spaces #weak-convergence #strong-convergence
311
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Coincidence of a weak limit and a uniform limit in Sobolev spaces

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#real-analysis #functional-analysis #sobolev-spaces #weak-convergence #dual-spaces
665
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Weak Convergence of Average of Dirac-delta to Lebesgue-measure on Unit Interval

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#measure-theory #weak-convergence
143
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Random variables with rapidly varying tails

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#probability #statistics #probability-distributions #convergence-divergence #weak-convergence
173
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Taylor series of $\log(1+ix)$ and $e^{ix}$

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#taylor-expansion #weak-convergence #central-limit-theorem
179
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central limit theorem stronger condition

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#probability #probability-theory #weak-convergence #central-limit-theorem
80
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A sequence in $L^p$ which converges weakly to zero but not strongly.

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#real-analysis #measure-theory #lebesgue-integral #lp-spaces #weak-convergence
108
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Weak* convergence of increasing functions

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#real-analysis #functional-analysis #weak-convergence
1.4k
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Does weak convergence in a Sobolev space implies uniform convergence?

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#real-analysis #functional-analysis #sobolev-spaces #uniform-convergence #weak-convergence
240
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Mazur Lemma for sequence of Lipschitz functions

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#functional-analysis #weak-convergence #lipschitz-functions #strong-convergence
152
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Show that $\|T\|\le\lim\inf_{n\to\infty}\|T_n\|$ under both the weak and strong operator topologies on $B(X,Y)$

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#functional-analysis #convergence-divergence #operator-theory #normed-spaces #weak-convergence
25
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How strong is the bound on a sequence of integrable functions converging as distributions?

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#functional-analysis #lebesgue-integral #weak-convergence #topological-vector-spaces
41
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Generate $\sigma$-algebra

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#probability-theory #measure-theory #stochastic-processes #weak-convergence
1.1k
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Convergence in distribution of Poisson variables.

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#probability-theory #proof-verification #weak-convergence #poisson-distribution #probability-limit-theorems

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