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Mar
16
comment Integration theory for Banach-valued functions
Hi. Why is this integral unique by Hahn-Banach theorem?
Feb
24
comment Approximation of a strongly measurable function by a sequence of simple functions.
@Freeze_S: Sorry, could not understand it. It is getting late for me. Good night and thank you very much.
Feb
24
comment Approximation of a strongly measurable function by a sequence of simple functions.
@Freeze_S: But what I am asking about is how to prove (1) in the original proof.
Feb
24
comment Approximation of a strongly measurable function by a sequence of simple functions.
@Freeze_S: How to make sure that $A_{n}(s_{k})$ is not empty?
Feb
24
comment Approximation of a strongly measurable function by a sequence of simple functions.
Actually I don't have any idea about these supports, because we haven't studied any thing about them. I think that the statement in (1) can be proved via basic arguments using the density and the set of rational numbers.
Feb
24
revised Approximation of a strongly measurable function by a sequence of simple functions.
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Feb
24
revised Approximation of a strongly measurable function by a sequence of simple functions.
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Feb
24
revised Approximation of a strongly measurable function by a sequence of simple functions.
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Feb
24
comment Approximation of a strongly measurable function by a sequence of simple functions.
How to prove the statement labeled as (1) in the proof of the proposition in the image?
Feb
13
comment Approximation of a strongly measurable function by a sequence of simple functions.
Sorry, I don't have such an account and you are welcome.
Feb
12
comment Approximation of a strongly measurable function by a sequence of simple functions.
I think the answer is here
Feb
12
comment Approximation of a strongly measurable function by a sequence of simple functions.
Measure Theory by Donald L. Cohn. page 351
Feb
12
asked Approximation of a strongly measurable function by a sequence of simple functions.
Feb
1
comment A sufficient condition for the existence of a fixed point for a continuous function.
Thank you very much.
Feb
1
accepted A sufficient condition for the existence of a fixed point for a continuous function.
Feb
1
asked A sufficient condition for the existence of a fixed point for a continuous function.
Nov
23
comment Singleton sets and net criteria for closeness
I understood you now. Thank you very much.
Nov
23
comment Singleton sets and net criteria for closeness
But the theorem, which I got from a book, implies that.
Nov
23
asked Singleton sets and net criteria for closeness
Nov
10
awarded  Popular Question