Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
An example of a non-zero non-atomic translation-invariant Borel measure $ν_p$ on the Banach space $ℓ_p (1 ≤ p ≤ ∞)$ is constructed in Solovay's model. It is established that, for 1 ≤ p < ∞, the condition "$ν_p$-almost every element of $ℓ_p$ has a property P" implies that "almost every" element of $ℓ_p$ (in the sense of [4]) has the property P. It is also shown that the converse is not valid.
Słowa kluczowe
Kategorie tematyczne
- 28C20: Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
- 03C50: Models with special properties (saturated, rigid, etc.)
- 28D05: Measure-preserving transformations
- 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets
Rocznik
Tom
Numer
Strony
63-69
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- Department of Mathematics, Georgian Technical University, Kostava Street 77, 01075 Tbilisi 75, Georgia
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-7