Timeline for Analytical origins of the Stone duality
Current License: CC BY-SA 4.0
9 events
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| Apr 17, 2021 at 16:11 | comment | added | Dmitri Pavlov | @IvánJorroMedina: Okay, I added a detailed explanation of how to recover the Borel functional calculus in this setting. The statement in the first quote is false, though, as I indicated in another comment. I added what I think was the intended meaning of that statement in my answer. My current favorite book on functional analysis is Helemskii's Lectures and Exercises on Functional Analysis (AMS, 2006). | |
| Apr 17, 2021 at 16:06 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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| Apr 16, 2021 at 1:00 | comment | added | IJM98 | Could you please, show the details of the things I mention in the two quotes without going to much into other areas and just staying only with functional analysis? It's the answer I want, I like this answer that you have already made, but it's too difficult for me to understand it. If this is too basic, I will be grateful if you could recomend some book, where I can find this, as I have said my knowledge of functional analysis is very narrow. | |
| Apr 15, 2021 at 18:14 | comment | added | Dmitri Pavlov | @IvánJorroMedina: The motivation mentioned in the first sentence was roughly my motivation for writing the answer the way I wrote it (i.e., explaining the bigger picture instead of just one narrow aspect of it), so it is quite pleasing to see that I had some success with it. | |
| Apr 14, 2021 at 22:41 | comment | added | IJM98 | This may sound naive and maybe dumb, but this makes me look at very cool things and gives me motivation for studing more math, so thank you for your answer and for the indirect motivation. I did this posts only to give some historical and technical details about the origins of the duality for my final project, that's all, but I get much more than that, even if I can't understand it by now. I would like to thank you and all the people that take the time to at least think about it. I leave this posts to leave the door open for other answers. | |
| Apr 14, 2021 at 22:32 | comment | added | IJM98 | I'm sorry, but if I say I have understand a bit of what is being said, I would be lying. To only explain it so I can get the big picture, I would need to ask too many questions. So I decided that I am going to leave this right here, so in the future I learn more category theory, functional analysis and more math in general, as I am still an undergraduate. | |
| Apr 14, 2021 at 2:20 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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| Apr 14, 2021 at 1:09 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
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| Apr 14, 2021 at 0:53 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |