Titlebook: Boolean Algebras in Analysis; D. A. Vladimirov Book 2002 Springer Science+Business Media Dordrecht 2002 functional.functional analysis.set

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Independenceant in the entire theory of Boolean algebras; in particular, it plays a key role in the problems concerning the structure of BAs. In the “metric” version the idea of independence is basic for probability theory. A significant part of probability theory (limit theorems, laws of large numbers, etc.) i

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https://doi.org/10.1007/978-94-017-0936-1functional; functional analysis; set theory; vector lattice

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978-90-481-5961-1Springer Science+Business Media Dordrecht 2002

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Two Descriptions of n: Itô’s and Williams’ant in the entire theory of Boolean algebras; in particular, it plays a key role in the problems concerning the structure of BAs. In the “metric” version the idea of independence is basic for probability theory. A significant part of probability theory (limit theorems, laws of large numbers, etc.) i

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https://doi.org/10.1007/978-3-7091-6090-9 Chapter 2.) Each complete BA decomposes into homogeneous bands. We have seen in Chapter 2 that each homogeneous BA decomposes always into the product of simple (four-element) subalgebras. Now, on assuming that our BA is X normed, we will essentially strengthen this result.

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