List questions from lp-spaces

Published on 03 Apr 2026 - 15:36

96

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Product between weakly convergent sequence and strongly convergent sequence

Published on 03 Apr 2026 - 15:35

382

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Understanding the proof of $L^{\infty} (T)$ is not separable

Published on 27 Nov 2019 - 6:40

38

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How can we compute the derivative of this integral functional?

Published on 25 Mar 2026 - 18:31

102

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Why is $S\colon\ell^{2}\to\ell^{2}$ defined by $(Sx)_{m}:=\sum_{n\in\mathbb{N}}a_{m,n}x_{n}$ a compact operator?

Published on 26 Mar 2026 - 19:03

55

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Differentiation under the integral sign and chain rule

Published on 25 Mar 2026 - 18:24

151

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Computing the $L_p$ norm

Published on 27 Nov 2019 - 23:39

60

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If $u_n \rightharpoonup u$ in $H_0^1 (\Omega)$ then $u_n^2 \to u^2$ in $L^{6/5}(\Omega)$

Published on 02 Apr 2026 - 3:38

88

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Convergence in integral norm

Published on 03 Apr 2026 - 17:03

71

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Determine all p such that $f(x) = \frac{1}{x^{\frac{1}{3}}*(1+x^{\frac{5}{3}})}$ is in Lp-Space?

Published on 30 Nov 2019 - 10:29

47

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Does $\int f_1\le\int f_2$ imply $\sup_g\int f_1g\le\sup_g\int f_2g$?

Published on 30 Nov 2019 - 16:51

71

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Does $\int f_1\le\int f_2$ imply $\sup_g\int f_1g\le\sup_g\int f_2g$? in this special situation?

Published on 27 Mar 2026 - 10:12

56

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Integral of $f(x,y) \in W^{1,1}(B)$

Published on 25 Mar 2026 - 14:26

351

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If $f_n \to f$ a.e. , and $f_n$ bounded sequence ,then $f_n \to f$ weakly in $L^p(\mathbb{R})$ .

Published on 01 Dec 2019 - 21:05

90

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Prove that $\lim_{n\to \infty}\|f+g_n\|_1 = \|f\|_1+\|g\|_1$

Published on 02 Dec 2019 - 0:45

List Question

What is the L1 norm of the difference of two products?

Product between weakly convergent sequence and strongly convergent sequence

Understanding the proof of $L^{\infty} (T)$ is not separable

How can we compute the derivative of this integral functional?

Why is $S\colon\ell^{2}\to\ell^{2}$ defined by $(Sx)_{m}:=\sum_{n\in\mathbb{N}}a_{m,n}x_{n}$ a compact operator?

Differentiation under the integral sign and chain rule

Computing the $L_p$ norm

If $u_n \rightharpoonup u$ in $H_0^1 (\Omega)$ then $u_n^2 \to u^2$ in $L^{6/5}(\Omega)$

Convergence in integral norm

Determine all p such that $f(x) = \frac{1}{x^{\frac{1}{3}}*(1+x^{\frac{5}{3}})}$ is in Lp-Space?

Does $\int f_1\le\int f_2$ imply $\sup_g\int f_1g\le\sup_g\int f_2g$?

Does $\int f_1\le\int f_2$ imply $\sup_g\int f_1g\le\sup_g\int f_2g$? in this special situation?

Integral of $f(x,y) \in W^{1,1}(B)$

If $f_n \to f$ a.e. , and $f_n$ bounded sequence ,then $f_n \to f$ weakly in $L^p(\mathbb{R})$ .

Prove that $\lim_{n\to \infty}\|f+g_n\|_1 = \|f\|_1+\|g\|_1$

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