List questions from lp-spaces

Published on 22 Mar 2026 - 15:10

23

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Why does the terms converge?

Published on 13 Feb 2018 - 4:31

681

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$C_c^\infty (U)$ dense in $\mathcal L^p(U)$

Published on 13 Feb 2018 - 11:21

2.5k

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The proof about the dual space of $L^1$ and $L^{\infty}$

Published on 14 Feb 2018 - 4:48

109

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Is the Heine Borel Theorem valid in $L^1$?

Published on 15 Feb 2018 - 3:51

174

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$L^1 \subseteq L^2$?

Published on 15 Feb 2018 - 8:58

2.7k

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Chebyshev's Inequality for conditional expectation

Published on 22 Mar 2026 - 13:34

261

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Is the space of all convergent sequences compact in the space of all bounded sequences($l^{\infty})$?

Published on 15 Feb 2018 - 19:24

2.5k

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Finately supported sequences are dense in $l^p$

Published on 16 Feb 2018 - 9:28

26

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Exercise about a sequence of functions in $L^2(0, +\infty)$

Published on 17 Feb 2018 - 10:42

95

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Bump function inequality

Published on 21 Mar 2026 - 10:35

349

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Problem understanding a proof (Folland's Real analysis, theorem 6.18)

Published on 21 Feb 2018 - 10:39

1.3k

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Proving continuity of a function in a normed space

Published on 21 Feb 2018 - 11:35

122

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Norm of sum of disjointly supported functions in $L^p$

Published on 21 Feb 2018 - 16:23

277

Views

Show that $L^{\infty}(\Omega,\mu)$ is a maximal abelian subalgebra of $B(L^{2}(\Omega,\mu))$

Published on 21 Feb 2018 - 16:35

List Question

Counter example for analogous Poincare inequality does not hold on Fractional Sobolev spaces

Why does the terms converge?

$C_c^\infty (U)$ dense in $\mathcal L^p(U)$

The proof about the dual space of $L^1$ and $L^{\infty}$

Is the Heine Borel Theorem valid in $L^1$?

$L^1 \subseteq L^2$?

Chebyshev's Inequality for conditional expectation

Is the space of all convergent sequences compact in the space of all bounded sequences($l^{\infty})$?

Finately supported sequences are dense in $l^p$

Exercise about a sequence of functions in $L^2(0, +\infty)$

Bump function inequality

Problem understanding a proof (Folland's Real analysis, theorem 6.18)

Proving continuity of a function in a normed space

Norm of sum of disjointly supported functions in $L^p$

Show that $L^{\infty}(\Omega,\mu)$ is a maximal abelian subalgebra of $B(L^{2}(\Omega,\mu))$

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