Let ((X, mathscr{A}, mu)) be a measure space. Assume that (mathcal{D} subset mathcal{L}^{p}(mu)) is dense. If (mathcal{C}

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Let $(X, \mathscr{A}, \mu)$ be a measure space. Assume that $\mathcal{D} \subset \mathcal{L}^{p}(\mu)$ is dense. If $\mathcal{C} \subset \mathcal{D}$ is dense w.r.t. the norm $\|\cdot\|_{p}$, then $\mathcal{C} \subset \mathcal{L}^{p}(\mu)$ is dense.

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 25, 2024 01:01 AM

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Let ((X, mathscr{A}, mu)) be a measure space. Assume that (mathcal{D} subset mathcal{L}^{p}(mu)) is dense. If (mathcal{C}

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Measures Integrals And Martingales

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