Question

Intuition why $l^p(\mathbb{N})$ is not locally convex.

score 623 · Answer 1 · 2026-03-25 19:10:56

623

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Intuition why $l^p(\mathbb{N})$ is not locally convex.

Published on 25 Mar 2026 - 19:10

score 263 · Answer 2 · 2020-02-22 14:13:42

263

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Separability of function spaces

Published on 22 Feb 2020 - 14:13

score 67 · Answer 3 · 2020-02-22 18:56:15

67

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Uniform bound on sequence of piecewise constant functions; improving the convergence of the sum.

Published on 22 Feb 2020 - 18:56

score 494 · Answer 4 · 2020-02-24 09:04:10

494

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The comparison of the norms of $l^p$ and $l^q$

Published on 24 Feb 2020 - 9:04

score 86 · Answer 5 · 2026-03-26 19:17:04

86

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Can we show that $\int\left|1_Bf-\int_Bf\:{\rm d}\lambda\right|^2\:{\rm d}\lambda\le c\int\left|f-\int f\:{\rm d}\lambda\right|^2\:{\rm d}\lambda$?

Published on 26 Mar 2026 - 19:17

score 102 · Answer 6 · 2026-02-23 06:57:22

102

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Does the Komlós theorem hold in infinite measure spaces?

Published on 23 Feb 2026 - 6:57

score 226 · Answer 7 · 2026-03-26 01:01:46

226

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Weak but not $\text{weak}^{\star}$ sequentially compact ball

Published on 26 Mar 2026 - 1:01

score 85 · Answer 8 · 2026-02-23 13:24:27

85

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Does the Perron-Frobenius operator preserve continuity?

Published on 23 Feb 2026 - 13:24

score 266 · Answer 9 · 2026-03-25 10:58:49

266

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Difference between $L^{1}([0,1],\text{Borel},\lambda|_{\text{Borel}})$ and $L^{1}([0,1],\text{Lebesgue},\lambda)$

Published on 25 Mar 2026 - 10:58

score 46 · Answer 10 · 2026-04-03 00:32:39

46

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What kind of functional analytic results can be said to hold for all 1<p<2 if it holds for some 1<p<2? Same with $2<q<\infty$

Published on 03 Apr 2026 - 0:32

score 209 · Answer 11 · 2026-04-04 11:24:32

209

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Integral of L^1 function outside a large ball

Published on 04 Apr 2026 - 11:24

score 113 · Answer 12 · 2026-03-25 20:33:37

113

Views

Help with Proving This Lemma

Published on 25 Mar 2026 - 20:33

score 33 · Answer 13 · 2026-03-25 14:32:39

33

Views

Estimates with $L^n$ norm

Published on 25 Mar 2026 - 14:32

score 83 · Answer 14 · 2026-04-01 06:11:30

83

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Why does the naive definition of fourier transform on $L^2$ fail?

Published on 01 Apr 2026 - 6:11

score 166 · Answer 15 · 2026-03-25 07:45:35

166

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Show $\sum_{n \in \mathbb{Z}} \sum_{k \in \mathbb{Z}} a_k b_{n-k} z^n =(\sum_{n \in \mathbb{Z}}a_n z^n)(\sum_{n \in \mathbb{Z}}b_n z^n)$

Published on 25 Mar 2026 - 7:45

List Question

Intuition why $l^p(\mathbb{N})$ is not locally convex.

Separability of function spaces

Uniform bound on sequence of piecewise constant functions; improving the convergence of the sum.

The comparison of the norms of $l^p$ and $l^q$

Can we show that $\int\left|1_Bf-\int_Bf\:{\rm d}\lambda\right|^2\:{\rm d}\lambda\le c\int\left|f-\int f\:{\rm d}\lambda\right|^2\:{\rm d}\lambda$?

Does the Komlós theorem hold in infinite measure spaces?

Weak but not $\text{weak}^{\star}$ sequentially compact ball

Does the Perron-Frobenius operator preserve continuity?

Difference between $L^{1}([0,1],\text{Borel},\lambda|_{\text{Borel}})$ and $L^{1}([0,1],\text{Lebesgue},\lambda)$

What kind of functional analytic results can be said to hold for all 1<p<2 if it holds for some 1<p<2? Same with $2<q<\infty$

Integral of L^1 function outside a large ball

Help with Proving This Lemma

Estimates with $L^n$ norm

Why does the naive definition of fourier transform on $L^2$ fail?

Show $\sum_{n \in \mathbb{Z}} \sum_{k \in \mathbb{Z}} a_k b_{n-k} z^n =(\sum_{n \in \mathbb{Z}}a_n z^n)(\sum_{n \in \mathbb{Z}}b_n z^n)$

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