List questions from lp-spaces

Published on 10 Apr 2026 - 21:46

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dual of $L^\infty$ or $l^{\infty}$ spaces and characters of these spaces

Published on 27 Mar 2026 - 21:19

421

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Has a $L^1$ bounded sequence a weak converging subsequence in $L^2$?

Published on 12 Feb 2015 - 11:09

1.5k

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Dual space of weighted $L^p(\omega)$

Published on 07 Apr 2026 - 17:08

85

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Proving a certain subset is closed in $L^1$

Published on 09 Apr 2026 - 10:54

657

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Lower semicontinuity of ${\dot{H}}^1$ norm

Published on 12 Apr 2026 - 21:45

783

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Are $L^\infty$ bounded functions compact in $L^2$?

Published on 12 Apr 2026 - 9:41

41

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Showing a convergence in $ L^p$

Published on 12 Apr 2026 - 7:16

405

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$||f_n-f||_1 \to 0 $ iff $ \int| f_n|\ to \int|f| $ if $f_n \to f $ a.e.

Published on 17 Feb 2015 - 9:05

1.8k

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Compactness Sobolev embedding for radial functions on $\mathbb{R}^N$

Published on 09 Apr 2026 - 0:47

778

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Is the parallelogram equality satisfied in $l^1$?

Published on 12 Apr 2026 - 12:42

183

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A step of change of variables I don't understand when show derivative of a function in $L^n$?

Published on 12 Apr 2026 - 3:09

1.8k

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A Cauchy sequence has a rapidly Cauchy subsequence

Published on 01 Apr 2026 - 21:36

74

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What is the norm of an element in $L^\infty(\mathbb{D})$ using the weak-star topology?

Published on 11 Apr 2026 - 22:26

79

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Why $\|f-g\|=0$ if and only if $f=g$?

Published on 23 Feb 2015 - 3:36

List Question

Are $L^\infty$ bounded functions closed in $L^2$?

dual of $L^\infty$ or $l^{\infty}$ spaces and characters of these spaces

Has a $L^1$ bounded sequence a weak converging subsequence in $L^2$?

Dual space of weighted $L^p(\omega)$

Proving a certain subset is closed in $L^1$

Lower semicontinuity of ${\dot{H}}^1$ norm

Are $L^\infty$ bounded functions compact in $L^2$?

Showing a convergence in $ L^p$

$||f_n-f||_1 \to 0 $ iff $ \int| f_n|\ to \int|f| $ if $f_n \to f $ a.e.

Compactness Sobolev embedding for radial functions on $\mathbb{R}^N$

Is the parallelogram equality satisfied in $l^1$?

A step of change of variables I don't understand when show derivative of a function in $L^n$?

A Cauchy sequence has a rapidly Cauchy subsequence

What is the norm of an element in $L^\infty(\mathbb{D})$ using the weak-star topology?

Why $\|f-g\|=0$ if and only if $f=g$?

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