List questions from lp-spaces

Published on 07 Dec 2019 - 5:25

199

Views

Show that the Fourier Transform of a function is not in $L^{1}(R)+L^{2}(R).$

Published on 31 Mar 2026 - 13:56

31

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Inequality for function involving laplacian

Published on 28 Mar 2026 - 13:37

32

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Completion space of $L^1(\mathbb{R}^n)\cap L^p(\mathbb{R}^n)$

Published on 26 Mar 2026 - 7:58

96

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Inclusions of $L^1[a,b]$, $L^2[a,b]$ and $L^3[a,b]$

Published on 26 Mar 2026 - 16:06

672

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Volterra Bounded Operator

Published on 08 Dec 2019 - 19:12

63

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How to show that the following subspace is dense in $L^2(\mathbb{R}).$

Published on 29 Mar 2026 - 18:53

444

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Showing that this sequence converges weakly to $0$

Published on 03 Apr 2026 - 20:30

177

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$f_n \to f$ a.e. and $\| f_n\|_p \to \|f\|_p$. Is $\{f_n\}$ dominated by some $g$?

Published on 09 Dec 2019 - 3:47

112

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Question about compact subset of $l^p(\mathbb{N})$

Published on 09 Dec 2019 - 7:09

755

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Finding a sequence that converges weakly but not strongly in $L^2(-1,1)$

Published on 09 Dec 2019 - 8:35

57

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Is this integral functional continuous?

Published on 09 Dec 2019 - 9:27

291

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Proving weak convergence

Published on 09 Dec 2019 - 12:18

37

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Show that this subset of $L^r$ is closed

Published on 09 Dec 2019 - 18:46

495

Views

Isometry between $L^\infty$ and $(L^1)^*$

Published on 25 Mar 2026 - 23:51

List Question

Proving convergence in the operator norm in $l^{2}$

Show that the Fourier Transform of a function is not in $L^{1}(R)+L^{2}(R).$

Inequality for function involving laplacian

Completion space of $L^1(\mathbb{R}^n)\cap L^p(\mathbb{R}^n)$

Inclusions of $L^1[a,b]$, $L^2[a,b]$ and $L^3[a,b]$

Volterra Bounded Operator

How to show that the following subspace is dense in $L^2(\mathbb{R}).$

Showing that this sequence converges weakly to $0$

$f_n \to f$ a.e. and $\| f_n\|_p \to \|f\|_p$. Is $\{f_n\}$ dominated by some $g$?

Question about compact subset of $l^p(\mathbb{N})$

Finding a sequence that converges weakly but not strongly in $L^2(-1,1)$

Is this integral functional continuous?

Proving weak convergence

Show that this subset of $L^r$ is closed

Isometry between $L^\infty$ and $(L^1)^*$

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