lavish
发表于 2025-3-26 22:01:12
,Yosida’s Representation Theorem,Our main result, as mentioned in the preamble to Chap. ., is Yosida’s Theorem, characterizing the Riesz spaces that are isomorphic to .(.) for some compact Hausdorff space .. At the background we have Alaoglu’s Theorem, giving us the space . we need.
Ceramic
发表于 2025-3-27 02:39:53
,The Stone-Čech Compactification,When dealing with a metric space it is often useful to form its completion. Similarly, it may be useful to embed a topological space . in a compact Hausdorff space, preferably as a dense subset.
Paradox
发表于 2025-3-27 06:30:23
Evaluations,Let . be a topological space.
Crayon
发表于 2025-3-27 12:49:04
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思想
发表于 2025-3-27 15:02:05
The Riesz Representation Theorem,The integral of a continuous function on . may be viewed as the average value of that function. Sometimes it is desirable to have at one’s disposal a method of averaging functions on . that gives different weights to different parts of the interval.
ineluctable
发表于 2025-3-27 19:19:47
Banach Algebras,For compact ., .(.) is an ordered vector space. Yosida’s Theorem characterizes those ordered vector spaces that are “isomorphic” with a .(.). In this chapter we obtain an analogous result for a multiplication instead of an ordering.
顾客
发表于 2025-3-28 01:59:58
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Multiple
发表于 2025-3-28 05:52:42
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Override
发表于 2025-3-28 09:25:07
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SPASM
发表于 2025-3-28 12:39:33
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