simple function

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Simple Function

A measurable function $ϕ : E \to C$ is simple if $| ϕ (E) | < \infty$
(ie, the size of the range is finite)

Mentions

File	Last Modified
Functional Analysis Lecture 11	2025-07-15
basic properties of lebesgue integral	2025-07-14
convergent sequence of simple functions for a measurable function	2025-07-14
Functional Analysis Lecture 10	2025-07-14
it is only interesting to take integrals of functions with positive measure	2025-07-14
Lebesgue Integral	2025-07-14
lebesgue integral of sum is sum of the integral	2025-07-14
Monotone Convergence Theorem	2025-07-14
simple functions can be written as a finite complex linear combination of indicator functions	2025-07-14
sums and products of simple functions are simple functions	2025-07-14

simple function

References

See Also

Mentions