List questions from lp-spaces

Published on 18 Oct 2014 - 13:13

98

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$L^{p}$ spaces and their properties

Published on 01 Apr 2026 - 7:54

76

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How to identify $L^2(Q_T)$ and $L^2(0, T; L^2(\Omega))$? (measurability of function)

Published on 21 Oct 2014 - 22:01

240

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Holder Inequality

Published on 26 Mar 2026 - 12:32

4.2k

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Embedding of Lp spaces

Published on 23 Oct 2014 - 19:10

3.8k

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Proof completeness of $L^p$

Published on 01 Apr 2026 - 7:54

123

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Proving functions are in $L_1(\mu)$.

Published on 01 Apr 2026 - 22:33

78

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Finite parameter integral implies finite norm

Published on 25 Oct 2014 - 9:50

154

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Why is convergence w.r.t $\mathcal L^p$-norm of a sequence $(f_n)$ of $\mathcal E-\mathcal B(\mathbb R)$-functions called "convergence in $p$-mean"?

Published on 25 Oct 2014 - 15:16

1.6k

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Is $\ell^1$ an inner product space?

Published on 25 Oct 2014 - 16:28

435

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Different norm on $\ell_p$-space and Hilbert space

Published on 29 Oct 2014 - 7:51

57

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L_p spacece and subset of them

Published on 29 Oct 2014 - 20:25

3.7k

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How to prove that $L^p [0,1]$ isn't induced by an inner product? for $p\neq 2$

Published on 01 Apr 2026 - 22:38

55

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Positivelinear operator on $L^p$-spaces

Published on 30 Oct 2014 - 6:39

21

Views

Is contraction of $L^{2}$ function is again $L^{2}$ function?

Published on 02 Nov 2014 - 7:01

List Question

Is this map surjective?

$L^{p}$ spaces and their properties

How to identify $L^2(Q_T)$ and $L^2(0, T; L^2(\Omega))$? (measurability of function)

Holder Inequality

Embedding of Lp spaces

Proof completeness of $L^p$

Proving functions are in $L_1(\mu)$.

Finite parameter integral implies finite norm

Why is convergence w.r.t $\mathcal L^p$-norm of a sequence $(f_n)$ of $\mathcal E-\mathcal B(\mathbb R)$-functions called "convergence in $p$-mean"?

Is $\ell^1$ an inner product space?

Different norm on $\ell_p$-space and Hilbert space

L_p spacece and subset of them

How to prove that $L^p [0,1]$ isn't induced by an inner product? for $p\neq 2$

Positivelinear operator on $L^p$-spaces

Is contraction of $L^{2}$ function is again $L^{2}$ function?

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