List questions from lp-spaces

Published on 29 Apr 2026 - 5:09

149

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Two questions about Riesz-Thorin interpolation and log-convexity of $L^p$ spaces

Published on 14 Apr 2026 - 8:59

105

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Sequence of functions in an $ \mathcal{L}^p $ space

Published on 15 Apr 2026 - 18:27

754

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Absolute continuity of Lebesgue integral for $L^2$ function

Published on 12 Apr 2026 - 6:12

451

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What is the closure of $\ell_1$ in $\ell_2$?

Published on 14 Apr 2026 - 2:39

356

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Continuous embeddings of $C(a,b)$ into itself with $L^p$ norms.

Published on 12 Apr 2026 - 0:16

77

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Explanation on the use of the Hölder inequality in a proof

Published on 15 Apr 2026 - 14:42

442

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Proof of the separability of $L^p (X,\mathcal{A},\mu)$ when $1 \leq p < \infty$ and $\mu$ is $\sigma$-finite.

Published on 13 Apr 2026 - 16:50

1.7k

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Contraction Property of Conditional Expectation

Published on 14 Apr 2026 - 6:56

171

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Quotient set and equivalence relation

Published on 15 Apr 2026 - 15:27

49

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A question concerning $l_1(\mathbb{N})=c_0(\mathbb{N})'$

Published on 15 Apr 2026 - 20:10

1.1k

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$(e_1,e_2,..)$ is not a Schauder basis of $\ell^\infty$

Published on 14 Apr 2026 - 13:23

84

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Explain why $\int_{\mathbb R^N}|\nabla u_r(x)|^p dx=r^p \int_{\mathbb{R}^N}|\nabla u(rx)|^p dx$

Published on 17 Apr 2026 - 13:49

233

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Subspaces of $\ell^p$

Published on 12 Apr 2026 - 20:04

228

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Positive solution of the PDE: $u_t=\Delta u+au-buv$, am I missing something?

Published on 28 Mar 2026 - 10:16

List Question

Counterexample $(V^\perp )^\perp = V$ when $V$ is not a closed subspace

Two questions about Riesz-Thorin interpolation and log-convexity of $L^p$ spaces

Sequence of functions in an $ \mathcal{L}^p $ space

Absolute continuity of Lebesgue integral for $L^2$ function

What is the closure of $\ell_1$ in $\ell_2$?

Continuous embeddings of $C(a,b)$ into itself with $L^p$ norms.

Explanation on the use of the Hölder inequality in a proof

Proof of the separability of $L^p (X,\mathcal{A},\mu)$ when $1 \leq p < \infty$ and $\mu$ is $\sigma$-finite.

Contraction Property of Conditional Expectation

Quotient set and equivalence relation

A question concerning $l_1(\mathbb{N})=c_0(\mathbb{N})'$

$(e_1,e_2,..)$ is not a Schauder basis of $\ell^\infty$

Explain why $\int_{\mathbb R^N}|\nabla u_r(x)|^p dx=r^p \int_{\mathbb{R}^N}|\nabla u(rx)|^p dx$

Subspaces of $\ell^p$

Positive solution of the PDE: $u_t=\Delta u+au-buv$, am I missing something?

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