I could find several answers that $|\int fd\mu| \leqq \int |f| d\mu$ when $f : E \rightarrow \mathbb R$ is integrable function. But, how I can explain when $f : E \rightarrow \mathbb C$?
When does the equality holds?
I could find several answers that $|\int fd\mu| \leqq \int |f| d\mu$ when $f : E \rightarrow \mathbb R$ is integrable function. But, how I can explain when $f : E \rightarrow \mathbb C$?
When does the equality holds?
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