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15
122
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Make $C^1(\mathbb{R})$ a Banach space

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#real-analysis #functional-analysis #normed-spaces #banach-spaces #uniform-convergence
97
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Testing uniform convergence of improper integeal

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#real-analysis #complex-analysis #improper-integrals #uniform-convergence
52
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Show uniform convergence given a uniformly converging subsequence

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#real-analysis #uniform-convergence
137
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Example of weakly convergent sequence, not convergent in norm

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#functional-analysis #normed-spaces #uniform-convergence #weak-convergence
87
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Diagonal convergence and Uniform Convergence

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#real-analysis #calculus #sequences-and-series #convergence-divergence #uniform-convergence
67
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Uniform convergence and Continuous composition

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#real-analysis #calculus #sequences-and-series #convergence-divergence #uniform-convergence
83
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Locally uniform convergence and interchangeable limits

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#real-analysis #convergence-divergence #solution-verification #examples-counterexamples #uniform-convergence
135
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(Proof verification) Weierstrass M-Test for $\{f_k\}_{k=1}^{\infty}, f_k: X \to Y$, where $Y$ is a Banach space

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#analysis #solution-verification #metric-spaces #banach-spaces #uniform-convergence
90
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If $T: E \rightarrow E$ is a bounded linear operator, then $e^T$ is as well

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#linear-algebra #analysis #vector-spaces #operator-theory #uniform-convergence
88
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$\displaystyle \sum \lvert f_n \rvert$ converge uniformly $\implies$ $\displaystyle \sum f_n$ converge uniformly.

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#power-series #uniform-convergence
43
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It is possible to approximate this function by continuously differentiable increasing odd functions?

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#real-analysis #uniform-convergence
340
Views

Convergence in operator norm equivalent to uniform convergence on bounded sets

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#linear-algebra #functional-analysis #analysis #operator-theory #uniform-convergence
63
Views

About uniform convergence in Hille-Yosida's Theorem proof

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#functional-analysis #operator-theory #uniform-convergence #semigroup-of-operators
54
Views

Can’t figure out whether a sequence of functions converges uniformly.

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#real-analysis #calculus #sequences-and-series #uniform-convergence #sequence-of-function
86
Views

Stuck at the beginning of the proof of uniform convergence in probability.

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#real-analysis #probability #probability-theory #uniform-convergence

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