Semivariations of an additive function on a Boolean ring

• Autorzy: Zbigniew Lipecki
• Języki publikacji: EN

Abstrakty

EN

With an additive function φ from a Boolean ring A into a normed space two positive functions on A, called semivariations of φ, are associated. We characterize those functions as submeasures with some additional properties in the general case as well as in the cases where φ is bounded or exhaustive.

Kategorie tematyczne

• 28A60: Measures on Boolean rings, measure algebras
• 28A12: Contents, measures, outer measures, capacities
• 28B05: Vector-valued set functions, measures and integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 117
• Numer: 2
• Strony: 267-279

Daty

wydano

2009

Twórcy

autor

Zbigniew Lipecki

• Institute of Mathematics, Polish Academy of Sciences, Wrocław Branch, Kopernika 18, 51-617 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm117-2-9