Question

If $f:X\to \mathbb C$ is measurable simple function and $f\in L^p$, then $\mu(\{x\mid f(x)\neq 0\})<\infty$.

score 44 · Answer 1 · 2026-03-25 04:43:48

44

Views

If $f:X\to \mathbb C$ is measurable simple function and $f\in L^p$, then $\mu(\{x\mid f(x)\neq 0\})<\infty$.

Published on 25 Mar 2026 - 4:43

score 60 · Answer 2 · 2026-03-25 09:22:30

60

Views

Approximating the exponential function with simple functions

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score 49 · Answer 3 · 2026-03-25 04:40:09

49

Views

About Theorem 3.13 integral-type sums for simple functions in "Measure, Integration & Real Analysis" by Sheldon Axler.

Published on 25 Mar 2026 - 4:40

score 173 · Answer 4 · 2026-03-25 06:06:27

173

Views

Need to use the standard representation of a simple function to prove Theorem 3.13? ("Measure, Integration & Real Analysis" by Sheldon Axler.)

Published on 25 Mar 2026 - 6:06

score 88 · Answer 5 · 2026-03-25 06:01:34

88

Views

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score 317 · Answer 6 · 2026-03-25 06:05:13

317

Views

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score 18 · Answer 7 · 2026-03-19 23:07:51

18

Views

Uniform convergence of increasing sequence of simple functions

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score 69 · Answer 8 · 2026-03-25 06:05:23

69

Views

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score 41 · Answer 9 · 2026-03-25 04:36:36

41

Views

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score 150 · Answer 10 · 2026-03-25 07:38:12

150

Views

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score 19 · Answer 11 · 2026-03-25 04:35:27

19

Views

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score 16 · Answer 12 · 2026-04-23 12:37:14

16

Views

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56

Views

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score 58 · Answer 14 · 2026-03-25 07:49:10

58

Views

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Published on 25 Mar 2026 - 7:49

score 160 · Answer 15 · 2026-03-25 06:04:51

160

Views

How to use a simple function in Stieltjes integral to approximate Riemann integral?

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List Question

If $f:X\to \mathbb C$ is measurable simple function and $f\in L^p$, then $\mu(\{x\mid f(x)\neq 0\})<\infty$.

Approximating the exponential function with simple functions

About Theorem 3.13 integral-type sums for simple functions in "Measure, Integration & Real Analysis" by Sheldon Axler.

Need to use the standard representation of a simple function to prove Theorem 3.13? ("Measure, Integration & Real Analysis" by Sheldon Axler.)

Is there a simple function mapping -1 to 1 and 1 to 0

Why is the average of $\sin^2 wt = 1/2$ and $\cos^2 wt = 1/2$

Uniform convergence of increasing sequence of simple functions

Show $f: X \rightarrow \mathbb R^n$ is measurable iff condition holds

Can we compare simple functions without looking at their values at specific points?

Divergence for original function implies large value eventually for some simple function approximation

Simple functions convergence under different topologies

Hardy-Littlewood maximal function algorithm

Detail in standard measure theory I cannot seem to obtain

Help completing proof that there is an increasing sequence of measurable simple functions to a measurable function.

How to use a simple function in Stieltjes integral to approximate Riemann integral?

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