Displaying similar documents to “Convergence and submeasures in Boolean algebras”

Compact Boolean algebras

Wiesław Głowczyński (2005)

Acta Universitatis Carolinae. Mathematica et Physica

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Sequential closedness of Boolean algebras of projections in Banach spaces

D. H. Fremlin, B. de Pagter, W. J. Ricker (2005)

Studia Mathematica

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Complete and σ-complete Boolean algebras of projections acting in a Banach space were introduced by W. Bade in the 1950's. A basic fact is that every complete Boolean algebra of projections is necessarily a closed set for the strong operator topology. Here we address the analogous question for σ-complete Boolean algebras: are they always a sequentially closed set for the strong operator topology? For the atomic case the answer is shown to be affirmative. For the general case, we develop...

Sequential convergences on Boolean algebras defined by systems of maximal filters

Roman Frič, Ján Jakubík (2001)

Czechoslovak Mathematical Journal

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We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novák sequential envelope to such algebras.