List questions from lp-spaces

Published on 14 Apr 2026 - 2:59

259

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Exercise on equivalence of weak convergence in Sobolev and $L^p$ spaces

Published on 28 Apr 2026 - 8:25

136

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Is my proof true? (problem about operator theory and measure theory)

Published on 09 Apr 2026 - 8:36

152

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Uniform exponential stability of semigroup of operators

Published on 27 Mar 2026 - 17:57

44

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Representation of a function $f \in L^2(\mathbb{R})$

Published on 17 Apr 2026 - 10:25

34

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Iterated weak limits

Published on 07 Apr 2026 - 22:35

1.9k

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$L^2$ function with compact support is in $L^1$?

Published on 13 Apr 2026 - 19:25

89

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Gate 2011-Find $p $ such that given series is convergent.

Published on 13 Apr 2026 - 23:31

220

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Is the map $x\mapsto\|x\|_p^p$, defined in $L^p[0,1]$ ($1<p<\infty$), strictly convex?

Published on 14 Apr 2026 - 18:11

339

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Convergence in $L^1_{loc}(\Omega)$ implies convergence in $L^1(\Omega)$

Published on 13 Apr 2026 - 12:28

492

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The integral of a square-integrable non-negative function equals zero implies function is zero a.e

Published on 29 Mar 2026 - 3:19

557

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Confused about using Cauchy sequence $(x_n)_1^{\infty} \in l_p$ to show the sequence space $l_p$ complete

Published on 16 Apr 2026 - 0:48

219

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When is $L^2(\Omega) = L^2(\bar \Omega)$?

Published on 14 Apr 2026 - 13:58

108

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Sufficient Conditions for a family of $L^p$ bounded measurable functions to satisfy $\left\Vert \sup_{X\in\mathscr{C}} |X|\right\Vert_p<\infty$

Published on 13 Apr 2026 - 17:06

489

Views

Sufficient Condition for Uniform Integrability $\mathcal{L}^1$-boundedness

Published on 15 Apr 2026 - 15:05

List Question

$Y=${$(x_j/j):(x_j)\in l_\infty$}. Is Y closed in $l_\infty$?

Exercise on equivalence of weak convergence in Sobolev and $L^p$ spaces

Is my proof true? (problem about operator theory and measure theory)

Uniform exponential stability of semigroup of operators

Representation of a function $f \in L^2(\mathbb{R})$

Iterated weak limits

$L^2$ function with compact support is in $L^1$?

Gate 2011-Find $p $ such that given series is convergent.

Is the map $x\mapsto\|x\|_p^p$, defined in $L^p[0,1]$ ($1<p<\infty$), strictly convex?

Convergence in $L^1_{loc}(\Omega)$ implies convergence in $L^1(\Omega)$

The integral of a square-integrable non-negative function equals zero implies function is zero a.e

Confused about using Cauchy sequence $(x_n)_1^{\infty} \in l_p$ to show the sequence space $l_p$ complete

When is $L^2(\Omega) = L^2(\bar \Omega)$?

Sufficient Conditions for a family of $L^p$ bounded measurable functions to satisfy $\left\Vert \sup_{X\in\mathscr{C}} |X|\right\Vert_p<\infty$

Sufficient Condition for Uniform Integrability $\mathcal{L}^1$-boundedness

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