List questions from lp-spaces

Published on 14 Apr 2026 - 10:29

61

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$L^2$ mapping is necessarily onto or not?

Published on 16 Apr 2026 - 9:17

41

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Compute of two norms of a function of three variables

Published on 13 Apr 2026 - 10:49

5.9k

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Fourier transforms having compact support

Published on 08 Apr 2026 - 18:12

56

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Show that if $E$ is a finite dimensional subspace of $l_p$, there exists an integer $m$ such that $\| P_m(x) \| \geq (1 - \frac{1}{n}) \| x \|$

Published on 17 Apr 2026 - 4:41

88

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Show that there is a measure $\mu$ and a subspace $Y$ of $L_p(\mu)$ such that $\bar{d}(X, Y) \leq \lambda$.

Published on 16 Apr 2026 - 15:38

250

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Showing that the operator is bounded and find its norm.

Published on 12 Apr 2026 - 12:55

205

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Convergence of second derivative in $L^2(\mathbb{R}^+)$

Published on 14 Apr 2026 - 22:53

153

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Form functions that are continuous at one point in L^\infty a Banach space.

Published on 15 Apr 2026 - 3:22

1k

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$L^\infty$ is complete - proof from exercises in Royden & Fitzpatrick's Real Analysis.

Published on 12 Apr 2026 - 20:20

60

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Fréchet differentiability of Nemyckij operator defined on $L^2$

Published on 13 Apr 2026 - 21:43

362

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Uniqueness in Riesz representation $L^p$-spaces.

Published on 14 Apr 2026 - 1:26

86

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Are the three statements the same?

Published on 20 Apr 2026 - 14:11

118

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How to show the convergence in $L^p$ spaces?

Published on 10 Apr 2026 - 21:25

143

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measurability of weak limit? or uniqueness of weak limit with sigma-algebras

Published on 15 Dec 2015 - 16:08

List Question

Disproving that a particular space is Banach

$L^2$ mapping is necessarily onto or not?

Compute of two norms of a function of three variables

Fourier transforms having compact support

Show that if $E$ is a finite dimensional subspace of $l_p$, there exists an integer $m$ such that $\| P_m(x) \| \geq (1 - \frac{1}{n}) \| x \|$

Show that there is a measure $\mu$ and a subspace $Y$ of $L_p(\mu)$ such that $\bar{d}(X, Y) \leq \lambda$.

Showing that the operator is bounded and find its norm.

Convergence of second derivative in $L^2(\mathbb{R}^+)$

Form functions that are continuous at one point in L^\infty a Banach space.

$L^\infty$ is complete - proof from exercises in Royden & Fitzpatrick's Real Analysis.

Fréchet differentiability of Nemyckij operator defined on $L^2$

Uniqueness in Riesz representation $L^p$-spaces.

Are the three statements the same?

How to show the convergence in $L^p$ spaces?

measurability of weak limit? or uniqueness of weak limit with sigma-algebras

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