List questions from lp-spaces

Published on 04 Apr 2026 - 4:04

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$L^2(\mathbb R, \mu) $ a finite dimensional space.

Published on 15 Apr 2026 - 2:47

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Helmholtz decomposition of $v\in (L^2(\Omega))^3$

Published on 29 Mar 2026 - 4:43

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How to prove Clarkson's inequality?

Published on 14 Apr 2026 - 14:15

209

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Showing that sequences such that $\sum_{n=1}^\infty {x_n\over n} =1$ form a closed subset of $l^2$

Published on 16 Apr 2026 - 11:38

46

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Is a $C^2$ representative unique in $L^2([0,1])$?

Published on 17 Apr 2026 - 2:00

93

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Lp spaces (Hölder, Minkovski)

Published on 13 Apr 2026 - 4:35

65

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Proving that $x^{\alpha}(1+\Vert x\Vert^{2})^{-k}$ belongs to $L^{2}(\mathbb{R}^{n})$

Published on 17 Apr 2026 - 10:23

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Convergence of Schwartz functions

Published on 16 Apr 2026 - 19:51

121

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approximations in lp spaces

Published on 08 Apr 2026 - 17:02

216

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Approximation theory in Lp spaces (Reference Needed)

Published on 10 Apr 2026 - 16:23

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Find a sequence in $l^p$ but not in $l^q$, where $q < p$

Published on 17 Apr 2026 - 2:52

611

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$l^\infty$ equal to space of all sequence for which inner product with $l^1$ exists?

Published on 14 Apr 2026 - 3:06

174

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Difference between $C(\bar{D})$ and $L^\infty(D)$?

Published on 13 Apr 2026 - 9:18

375

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$(f_n)$ in $L^p(\Omega)$ satisfying $f_n(x) \to f(x)$ a.e. and $\|f_n\|_p \to \|f\|_p$, then $\|f_n - f\|_p \to 0$?

Published on 17 Apr 2026 - 12:02

List Question

I want to prove $f\notin W^{1,1}(\mathbb{R},\gamma_{1})$

$L^2(\mathbb R, \mu) $ a finite dimensional space.

Helmholtz decomposition of $v\in (L^2(\Omega))^3$

How to prove Clarkson's inequality?

Showing that sequences such that $\sum_{n=1}^\infty {x_n\over n} =1$ form a closed subset of $l^2$

Is a $C^2$ representative unique in $L^2([0,1])$?

Lp spaces (Hölder, Minkovski)

Proving that $x^{\alpha}(1+\Vert x\Vert^{2})^{-k}$ belongs to $L^{2}(\mathbb{R}^{n})$

Convergence of Schwartz functions

approximations in lp spaces

Approximation theory in Lp spaces (Reference Needed)

Find a sequence in $l^p$ but not in $l^q$, where $q < p$

$l^\infty$ equal to space of all sequence for which inner product with $l^1$ exists?

Difference between $C(\bar{D})$ and $L^\infty(D)$?

$(f_n)$ in $L^p(\Omega)$ satisfying $f_n(x) \to f(x)$ a.e. and $\|f_n\|_p \to \|f\|_p$, then $\|f_n - f\|_p \to 0$?

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