List questions from lp-spaces

Published on 28 Mar 2026 - 3:52

211

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function in $L^1\setminus L^2$

Published on 22 Apr 2026 - 18:03

257

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Norm operator and compactness

Published on 10 Apr 2026 - 3:27

211

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An almost orthogonality principle for $L^p$

Published on 10 Apr 2026 - 17:53

126

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Need help with notation: What is the "$L^2+L^{\frac{4}{3}}$-Norm" supposed to be?

Published on 14 Apr 2026 - 12:42

7k

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A bounded sequence in $L^\infty$ has a weak-$^*$ convergent subsequence

Published on 15 Apr 2026 - 3:45

8.9k

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Monotonicity of $\ell_p$ norm

Published on 11 Apr 2026 - 13:47

223

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Isometric embedding of an $n$-point equilateral space

Published on 14 Apr 2026 - 17:31

149

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Convergence in $L_1$ and Convergence of the Integrals

Published on 15 Apr 2026 - 7:48

347

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Showing that the functions $\sqrt{2x}\exp(2\pi inx^2)$ form a complete orthonormal system for $L^2([0,1])$

Published on 16 Apr 2026 - 12:50

161

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What is name/references of inequality bounding sup-norm by $L_2$ norm (or a similar variant of this)?

Published on 14 Apr 2026 - 20:01

81

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Showing that the mean of translations of a function approaches 0 in $L_p$

Published on 14 Apr 2026 - 6:08

170

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$f(y-x)$ integrable implies $f=0$ a.e.

Published on 13 Apr 2026 - 11:46

305

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Closedness of $L^\infty_+$ in $\sigma(L^\infty,L^1)$

Published on 14 Apr 2026 - 16:11

233

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A inequality involving $L^p$ norm and $L^1$ norm.

Published on 17 Apr 2026 - 13:29

List Question

How many points of intersection between an ellipse and an $L_p$-circle?

function in $L^1\setminus L^2$

Norm operator and compactness

An almost orthogonality principle for $L^p$

Need help with notation: What is the "$L^2+L^{\frac{4}{3}}$-Norm" supposed to be?

A bounded sequence in $L^\infty$ has a weak-$^*$ convergent subsequence

Monotonicity of $\ell_p$ norm

Isometric embedding of an $n$-point equilateral space

Convergence in $L_1$ and Convergence of the Integrals

Showing that the functions $\sqrt{2x}\exp(2\pi inx^2)$ form a complete orthonormal system for $L^2([0,1])$

What is name/references of inequality bounding sup-norm by $L_2$ norm (or a similar variant of this)?

Showing that the mean of translations of a function approaches 0 in $L_p$

$f(y-x)$ integrable implies $f=0$ a.e.

Closedness of $L^\infty_+$ in $\sigma(L^\infty,L^1)$

A inequality involving $L^p$ norm and $L^1$ norm.

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