List questions from lp-spaces

Published on 12 Apr 2026 - 6:44

97

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Why do we need $|\cdot|$ in this statement: $f \in L^p \iff |f|^p \in L^1$?

Published on 15 Apr 2026 - 17:28

140

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Star graph embeddings

Published on 17 Apr 2026 - 12:33

6.1k

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Doubt in the proof that $l^{p}$ is complete

Published on 23 Apr 2026 - 4:14

228

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Determine if the following sequence converge in the quadratic mean

Published on 15 Apr 2026 - 12:39

1.9k

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Closed set in $l^1$ space

Published on 15 Apr 2026 - 12:20

175

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Distance of a function from a subspace

Published on 15 Apr 2026 - 9:45

78

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Convergence of $\varphi_n(x):=\frac{\varphi(nx)}{n}$ in Schwartz space

Published on 15 Apr 2026 - 14:10

137

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If $u\in L^p$, is $u\in L^q$ for some $q>p$?

Published on 16 Apr 2026 - 4:32

88

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About the convergence of a sequence in $L^1$

Published on 15 Apr 2026 - 4:08

127

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Approximation in $L^2$ of functions with values in a convex set

Published on 11 Apr 2026 - 16:08

323

Views

Lp Space conjugate function

Published on 13 Apr 2026 - 9:07

5k

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Are all the norms of $L^p$ space equivalent?

Published on 12 Apr 2026 - 22:19

2.3k

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Is a $L^p$ function almost surely bounded a.e.?

Published on 10 Apr 2026 - 8:10

134

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Does the weak $L^p$-norm of $f_n$ tending to $0$ imply $\int_Bf_n\phi→0$?

Published on 14 Apr 2026 - 13:21

List Question

Weak limits in $L^p$ and $L^q$

Why do we need $|\cdot|$ in this statement: $f \in L^p \iff |f|^p \in L^1$?

Star graph embeddings

Doubt in the proof that $l^{p}$ is complete

Determine if the following sequence converge in the quadratic mean

Closed set in $l^1$ space

Distance of a function from a subspace

Convergence of $\varphi_n(x):=\frac{\varphi(nx)}{n}$ in Schwartz space

If $u\in L^p$, is $u\in L^q$ for some $q>p$?

About the convergence of a sequence in $L^1$

Approximation in $L^2$ of functions with values in a convex set

Lp Space conjugate function

Are all the norms of $L^p$ space equivalent?

Is a $L^p$ function almost surely bounded a.e.?

Does the weak $L^p$-norm of $f_n$ tending to $0$ imply $\int_Bf_n\phi→0$?

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