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Understanding a problem and the construction of a proof

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#functional-analysis #proof-explanation #strong-convergence
293
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Prove strong convergence in Hilbert space

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#functional-analysis #hilbert-spaces #strong-convergence
231
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Divergence free property preserved under weak convergence in $L^2$

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#sobolev-spaces #weak-convergence #strong-convergence
235
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Mazur Lemma for sequence of Lipschitz functions

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#functional-analysis #weak-convergence #lipschitz-functions #strong-convergence
165
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Exercise on Sobolev Spaces and strong/weak convergence

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#functional-analysis #sobolev-spaces #weak-convergence #weak-topology #strong-convergence
261
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Book of Functional analysis

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#functional-analysis #reference-request #weak-convergence #strong-convergence
392
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Convergence in trace-class norm

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#functional-analysis #convergence-divergence #strong-convergence
95
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Example Not convergent uniformly

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#operator-theory #hilbert-spaces #uniform-convergence #strong-convergence
102
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Double Limit of operators converges weakly, does single limit converge?

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#functional-analysis #hilbert-spaces #weak-convergence #nets #strong-convergence
532
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Strongly convergence and Uniformly convergence in Banach space

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#banach-spaces #uniform-convergence #compact-operators #strong-convergence
1.5k
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Weak convergence implies strong convergence in $L^1$ for Fourier series?

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#real-analysis #fourier-series #weak-convergence #strong-convergence
172
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Strongly convergent subsequence $+$ point-wise convergence $\Rightarrow$ strong convergence?

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#functional-analysis #hilbert-spaces #lebesgue-integral #pointwise-convergence #strong-convergence
143
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Spectrum and Convergence of an operator

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#operator-theory #hilbert-spaces #spectral-theory #weak-convergence #strong-convergence
38
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Under what condition on the space X, any Continuous operator will be Completely continuous.

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#functional-analysis #operator-theory #weak-convergence #strong-convergence
204
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Problem about weak convergence

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#real-analysis #functional-analysis #weak-convergence #strong-convergence

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