List questions from lp-spaces

Published on 15 Apr 2026 - 14:47

72

Views

If $\int|f|^p\ d\mu=K$, then $\int \lvert f \rvert^p\ \chi_E\ d\mu\le K\mu(E)$

Published on 17 Apr 2026 - 11:30

163

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Is a majorable subset in lp is relatively compact?

Published on 09 Apr 2026 - 11:55

205

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Orthogonal complement and shortest distance on $L^{2}[-1,1]$

Published on 16 Apr 2026 - 10:33

854

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Lp space Inequality with L Infinity

Published on 12 Apr 2026 - 11:01

63

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Find the norm of a continuos linear operator

Published on 11 Apr 2026 - 3:06

306

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Why is that a Cauchy sequence in $L^2(\mathbb{P})$, by $(1)$?

Published on 17 Apr 2026 - 15:31

95

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matrix norm formulas for operators between $\ell_1$ and $\ell_\infty$

Published on 12 Apr 2026 - 13:00

41

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To find norm of a bounded linear operator

Published on 10 Apr 2026 - 18:40

62

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Prove the inequality $\|x\|_p \le N^{1 - 1/q}\|x\|_q$.

Published on 16 Apr 2026 - 23:22

48

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The set $D = \{ p \in (0,\infty) \mid \int_X |f|^p ~d\mu < \infty\}$

Published on 15 Apr 2026 - 23:25

143

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Proving a space is Banach

Published on 17 Apr 2026 - 4:34

287

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Does uniform convergence of $X_n$ imply $L^p$ convergence of $f(X_n)$?

Published on 04 May 2026 - 17:16

391

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When are two $L^p$ spaces equal

Published on 12 Apr 2026 - 16:10

391

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Decomposition of $L^p$ function into $L^2$ tail part and $L^1$ body part

Published on 19 Apr 2026 - 4:15

List Question

Find a sequence from $L^1$ that is orthogonal to $1/|k|$

If $\int|f|^p\ d\mu=K$, then $\int \lvert f \rvert^p\ \chi_E\ d\mu\le K\mu(E)$

Is a majorable subset in lp is relatively compact?

Orthogonal complement and shortest distance on $L^{2}[-1,1]$

Lp space Inequality with L Infinity

Find the norm of a continuos linear operator

Why is that a Cauchy sequence in $L^2(\mathbb{P})$, by $(1)$?

matrix norm formulas for operators between $\ell_1$ and $\ell_\infty$

To find norm of a bounded linear operator

Prove the inequality $\|x\|_p \le N^{1 - 1/q}\|x\|_q$.

The set $D = \{ p \in (0,\infty) \mid \int_X |f|^p ~d\mu < \infty\}$

Proving a space is Banach

Does uniform convergence of $X_n$ imply $L^p$ convergence of $f(X_n)$?

When are two $L^p$ spaces equal

Decomposition of $L^p$ function into $L^2$ tail part and $L^1$ body part

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