Abstract
The theory of vector lattices (in other words, “the theory of ordered vector spaces”) is closely connected with the subject of the present book. Many facts concerning Boolean algebras become more explicit when they are considered from the “vector” point of view. It is not a gross exaggeration to say that the theories of Boolean algebras and ordered vector spaces merge into a single huge area of functional analysis.
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© 2002 Springer Science+Business Media Dordrecht
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Vladimirov, D.A. (2002). Vector Lattices and 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_7
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DOI: https://doi.org/10.1007/978-94-017-0936-1_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5961-1
Online ISBN: 978-94-017-0936-1
eBook Packages: Springer Book Archive