List questions from lp-spaces

Published on 09 Apr 2026 - 4:21

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Duality of $L^p$ spaces

Published on 11 Apr 2026 - 22:21

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Convergent sequences are closed subspace of $l^\infty$

Published on 18 Apr 2026 - 23:20

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Volume of n-dimensional ball in L1 norm with change of variables

Published on 10 Apr 2026 - 17:26

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Proving that $l_r$ is dense everywhere in $l_p$ $1\leq r \leq p$

Published on 15 Apr 2026 - 16:42

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Subspaces of quotients of $L^p$ spaces

Published on 19 Apr 2026 - 4:04

129

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Quotients of $L_1$

Published on 19 Apr 2026 - 4:00

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Prove that $\rho_n \star f \to f$ in $L^p(R^N)$.

Published on 04 Apr 2026 - 18:59

40

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Showing $u'=v$ a.e. given $u_k \to u$ and $u'_k \to v$ in $L_2(\mathbb{R})$.

Published on 14 Apr 2026 - 11:35

100

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Proof that $\|S_N\|_p < \infty $ is equivalent to $\|S_N f - f\|_p \to 0$ as $N \to \infty$

Published on 14 Apr 2026 - 19:28

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Approximations of $L^p$ functions, convolutions, mollifiers, etc. (resource needed)

Published on 16 Apr 2026 - 8:30

464

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Continuity on $L_p$ spaces

Published on 19 Apr 2026 - 3:46

52

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Let $f\in L^p$. Can we say $\|f\|_{L^{p}} \leq \epsilon$ on $|x|\geq R$ for large $R$?

Published on 16 Apr 2026 - 17:59

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If $f_n + g_n \to h$ in $L^2(\Omega)$ and $f_n, g_n \geq 0$, does $f_n \to f$ for some $f$?

Published on 15 Apr 2026 - 19:45

280

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Linear operator on a dense subset of $L_p$ which is unbounded when extended to $L_p$

Published on 15 Apr 2026 - 0:12

List Question

Boundedness and norm of a sequence operator

Duality of $L^p$ spaces

Convergent sequences are closed subspace of $l^\infty$

Volume of n-dimensional ball in L1 norm with change of variables

Proving that $l_r$ is dense everywhere in $l_p$ $1\leq r \leq p$

Subspaces of quotients of $L^p$ spaces

Quotients of $L_1$

Prove that $\rho_n \star f \to f$ in $L^p(R^N)$.

Showing $u'=v$ a.e. given $u_k \to u$ and $u'_k \to v$ in $L_2(\mathbb{R})$.

Proof that $\|S_N\|_p < \infty $ is equivalent to $\|S_N f - f\|_p \to 0$ as $N \to \infty$

Approximations of $L^p$ functions, convolutions, mollifiers, etc. (resource needed)

Continuity on $L_p$ spaces

Let $f\in L^p$. Can we say $\|f\|_{L^{p}} \leq \epsilon$ on $|x|\geq R$ for large $R$?

If $f_n + g_n \to h$ in $L^2(\Omega)$ and $f_n, g_n \geq 0$, does $f_n \to f$ for some $f$?

Linear operator on a dense subset of $L_p$ which is unbounded when extended to $L_p$

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