Abstract
In this section we begin a systematic study of the algebras furnished with a measure or measure algebras. Recall that a measure is an essentially positive totally additive function. The most important class is constituted by probability measures (see 0.3.5). Each algebra with probability measure may be interpreted as a system of events, with the measure itself the probability on this system. The most part of this and subsequent chapters admits translation into the language of probability theory.
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© 2002 Springer Science+Business Media Dordrecht
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Vladimirov, D.A. (2002). Normed Boolean Algebras. In: Boolean Algebras in Analysis. Mathematics and Its Applications, vol 540. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0936-1_8
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DOI: https://doi.org/10.1007/978-94-017-0936-1_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5961-1
Online ISBN: 978-94-017-0936-1
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