List questions from lp-spaces

Published on 05 Nov 2015 - 17:35

3.9k

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Pointwise convergence implies $L^p$

Published on 05 Nov 2015 - 19:57

59

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A simple lp inequality

Published on 06 Nov 2015 - 0:29

298

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Convergence in L^p and convergence in norm

Published on 06 Nov 2015 - 6:14

117

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Strong convergence due to Compact Operator

Published on 01 Apr 2026 - 17:52

93

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Showing $\ell^p$ space is linear

Published on 06 Nov 2015 - 18:04

153

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Problem related to $L^p$ and distribution function

Published on 06 Nov 2015 - 19:09

217

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Universal property of l^p-spaces

Published on 13 Apr 2026 - 6:42

286

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Why is $C=\{x\in l^2:|x_n|\leq 2^{-n},n=1,2,3,\dots\}$ compact?

Published on 18 Apr 2026 - 16:29

274

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Prove that $\|f\|_p \leq \liminf \|f_n\|_p$ under weak convergence

Published on 03 Apr 2026 - 19:57

237

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Pairs $(p,q)$ such that $id: l_p\to l_q$ is bounded

Published on 07 Nov 2015 - 13:48

431

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The asymptotic behavior of an absolutely continuous function with square integrable derivative

Published on 07 Nov 2015 - 19:39

126

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Let $a_f=\text{ arg} \min_{a} \int \left|f(x)-a\right| dx$ and $a_g= \text{ arg} \min_{a} \int \left|g(x)-a\right| dx$, is $a_f \le a_g$?

Published on 08 Nov 2015 - 21:04

289

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Prove an equality ($L^P$ spaces)

Published on 09 Nov 2015 - 12:12

179

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Is $(\oplus\ell_2^n)_{\ell_1}$ complemented in $\ell_1\oplus_\infty\ell_p$?

Published on 16 Apr 2026 - 14:39

List Question

Having trouble showing a subspace of $\ell^2$ is closed.

Pointwise convergence implies $L^p$

A simple lp inequality

Convergence in L^p and convergence in norm

Strong convergence due to Compact Operator

Showing $\ell^p$ space is linear

Problem related to $L^p$ and distribution function

Universal property of l^p-spaces

Why is $C=\{x\in l^2:|x_n|\leq 2^{-n},n=1,2,3,\dots\}$ compact?

Prove that $\|f\|_p \leq \liminf \|f_n\|_p$ under weak convergence

Pairs $(p,q)$ such that $id: l_p\to l_q$ is bounded

The asymptotic behavior of an absolutely continuous function with square integrable derivative

Let $a_f=\text{ arg} \min_{a} \int \left|f(x)-a\right| dx$ and $a_g= \text{ arg} \min_{a} \int \left|g(x)-a\right| dx$, is $a_f \le a_g$?

Prove an equality ($L^P$ spaces)

Is $(\oplus\ell_2^n)_{\ell_1}$ complemented in $\ell_1\oplus_\infty\ell_p$?

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