Abstract
Note that a BA is called homogeneous in this book whenever all bands have the same weight. (In other words, such a BA is τ-homogeneous in the sense of 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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© 2002 Springer Science+Business Media Dordrecht
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Vladimirov, D.A. (2002). Structure of a Normed Boolean Algebra. In: Boolean Algebras in Analysis. Mathematics and Its Applications, vol 540. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0936-1_10
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DOI: https://doi.org/10.1007/978-94-017-0936-1_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5961-1
Online ISBN: 978-94-017-0936-1
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