List questions from lp-spaces

Published on 15 Apr 2026 - 0:17

177

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If $0<|E|<\infty$, $0<||f||_{\infty}<\infty$ and $a_k=||f||_k^k$ then $a_{k+1}/a_k\to ||f||_{\infty}$

Published on 17 Apr 2026 - 2:16

376

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Proof that $C_{0} ^{\infty}$ bounded functions are dense in $L^{1} (\mathbb{R})$

Published on 16 Apr 2026 - 14:03

297

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Problem 15.10 of Real analysis for graduate students by R. Bass

Published on 11 Apr 2026 - 10:28

155

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orthogonal projections and polynomial density

Published on 14 Apr 2026 - 10:34

79

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Show that $A_{n}$ are no-where dense sets.

Published on 17 Apr 2026 - 8:15

655

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Dense subspace of $L^p$

Published on 17 Apr 2026 - 0:28

979

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linear operator from $\ell^1$ to $(c_0)'$

Published on 16 Apr 2026 - 13:38

54

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Defining similar space to $L^p$ for function of random variables

Published on 16 Apr 2026 - 5:58

192

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Finding the conjugate operator of the following operators

Published on 12 Apr 2026 - 7:09

80

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How to show a space contains an isometric copy of $\ell^{\infty}(2)$?

Published on 13 Apr 2026 - 7:51

110

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Can $X^*$ characterize smooth norm on $X$?

Published on 11 Apr 2026 - 11:17

81

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why does $f = \sum_{k}f_k$ exist?

Published on 12 Apr 2026 - 10:44

54

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Uniformly $L^2$

Published on 14 Apr 2026 - 7:53

60

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When is $\int_{B(0,1)}\big(\sum_{k=1}^\infty\frac{1}{2^k}|x-r_k|^{-\alpha}\big)^p\,dx <\infty$ true?

Published on 15 Apr 2026 - 10:48

List Question

Estimate for weak L^p operator valued function

If $0<|E|<\infty$, $0<||f||_{\infty}<\infty$ and $a_k=||f||_k^k$ then $a_{k+1}/a_k\to ||f||_{\infty}$

Proof that $C_{0} ^{\infty}$ bounded functions are dense in $L^{1} (\mathbb{R})$

Problem 15.10 of Real analysis for graduate students by R. Bass

orthogonal projections and polynomial density

Show that $A_{n}$ are no-where dense sets.

Dense subspace of $L^p$

linear operator from $\ell^1$ to $(c_0)'$

Defining similar space to $L^p$ for function of random variables

Finding the conjugate operator of the following operators

How to show a space contains an isometric copy of $\ell^{\infty}(2)$?

Can $X^*$ characterize smooth norm on $X$?

why does $f = \sum_{k}f_k$ exist?

Uniformly $L^2$

When is $\int_{B(0,1)}\big(\sum_{k=1}^\infty\frac{1}{2^k}|x-r_k|^{-\alpha}\big)^p\,dx <\infty$ true?

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