Sequences of Generous and Nonatomic Quasi-Measures on Boolean Algebras

Author: Lipecki Z.

Source: Acta Mathematica Hungarica, Volume 92, Number 4, September 2001 , pp. 299-310(12)

Publisher: Springer

Abstract:

The notion of generosity, which is introduced in this paper, is closely connected with that of nonatomicity. We discuss the problem of when a sequence of generous [resp., nonatomic] quasi-measures or measures on a Boolean algebra or -algebra is, in some sense, uniformly generous [resp., nonatomic]. An application to sequences of vector-valued -additive functions is also included.

Keywords: Boolean algebra; Boolean -algebra; quasi-measure; measure; vector-valued -additive function; variation; nonatomic; strongly nonatomic

Language: English

Document Type: Regular paper

Affiliations: 1: Institute of Mathematics Polish Academy of Sciences Wrocaw Branch Kopernika 18 51-617 Wrocaw Poland e-mail: lipecki@impan.pan.wroc.plaw Branch Kopernika 18 51-617 Wrocaw Poland e-mail: lipecki@impan.pan.wroc.pl">

Publication date: 2001-09-01

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