- #1

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Question: \text{ }How \text{ }do \text{ }I \text{ }writing \text{ }elements\text{ } L^{p}(X,Y,\mu ) \text{ }mathematically?\\

Thanks

\end{equation*}

- Thread starter moh salem
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- #1

- 21

- 0

Question: \text{ }How \text{ }do \text{ }I \text{ }writing \text{ }elements\text{ } L^{p}(X,Y,\mu ) \text{ }mathematically?\\

Thanks

\end{equation*}

- #2

Stephen Tashi

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Is your question: "What is a standard notation for an equivalence class of functions?".

Or are you asking "What is the definition of an equivalence class of functions with respect to the [itex] ||\ ||_p [/itex] norm?"

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"What is the definition of an equivalence class of functions with respect to the || ||p norm?"

- #4

Stephen Tashi

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My opinion: [itex] f\ =_{p} \ g\iff \ || f - g ||_p = 0 [/itex].

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- #6

WWGD

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Like homeo. said, otherwise you will have non-zero vectors with norm zero.

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