List questions from lp-spaces

Published on 16 Apr 2026 - 15:24

119

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Integral of f.g is zero

Published on 17 Apr 2026 - 1:59

135

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From weak to strong divergence

Published on 11 Apr 2026 - 17:57

410

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Dense sets in Hilbert space of square summable sequences?

Published on 10 May 2026 - 16:11

83

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In $l^2=\{ (a_n): \sum_{n=1}^{\infty}\vert a_n^2\vert< \infty\}$ which of the following are true?

Published on 16 Apr 2026 - 4:35

37

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$\|f\|_{L^{p}}=\|g\|_{L^p} \implies \|f\|_{L_w^{p}}=\|g\|_{L_w^p} $

Published on 16 Apr 2026 - 12:58

26

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Trying to show $\mathcal S(\Bbb R)\subset L^p(\Bbb R)\ \forall 1\leq p\leq\infty$

Published on 10 May 2026 - 17:16

196

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little o notation under integration

Published on 10 May 2026 - 15:41

259

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Compute the dual of the $L^1$ space of $L^1$-valued functions (Lebesgue-Bochner space)

Published on 03 May 2026 - 4:45

84

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A sequence in $L^p$ which converges weakly to zero but not strongly.

Published on 10 May 2026 - 18:26

603

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About convergence in $L_\text{loc}^1$-norm

Published on 13 Apr 2026 - 8:55

119

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Functional Analysis integral problem

Published on 09 Apr 2026 - 4:50

52

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For every $p \in (0, \infty)$, find $f$ continuous such that $f \in L_q(\lambda)$ with $q \in (0, \infty)$ if and only if $q=p$

Published on 14 Apr 2026 - 19:35

141

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Is this subspace of $\ell_\infty$ a Banach space?

Published on 11 Apr 2026 - 2:54

185

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Getting a strict inequality in Holder's inequality

Published on 13 Apr 2026 - 23:33

List Question

Dense subset of $ L_g= \left\{ f: \int g(f(x)) dx <\infty \right\}$

Integral of f.g is zero

From weak to strong divergence

Dense sets in Hilbert space of square summable sequences?

In $l^2=\{ (a_n): \sum_{n=1}^{\infty}\vert a_n^2\vert< \infty\}$ which of the following are true?

$\|f\|_{L^{p}}=\|g\|_{L^p} \implies \|f\|_{L_w^{p}}=\|g\|_{L_w^p} $

Trying to show $\mathcal S(\Bbb R)\subset L^p(\Bbb R)\ \forall 1\leq p\leq\infty$

little o notation under integration

Compute the dual of the $L^1$ space of $L^1$-valued functions (Lebesgue-Bochner space)

A sequence in $L^p$ which converges weakly to zero but not strongly.

About convergence in $L_\text{loc}^1$-norm

Functional Analysis integral problem

For every $p \in (0, \infty)$, find $f$ continuous such that $f \in L_q(\lambda)$ with $q \in (0, \infty)$ if and only if $q=p$

Is this subspace of $\ell_\infty$ a Banach space?

Getting a strict inequality in Holder's inequality

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