On Kharazishvili type measures in infinite-dimensional Polish vector spaces

DOI10.1515/GMJ-2019-2047zbMath1431.28002OpenAlexW2967071080WikidataQ127367472 ScholiaQ127367472MaRDI QIDQ2288407

Aleks Kirtadze

Publication date: 17 January 2020

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2019-2047

zbMATH Keywords

invariant measureBorel measureinfinite-dimensional Polish vector space

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)

Cites Work

• Existence and uniqueness of translation invariant measures in separable Banach spaces
• Translationally invariant measure on the infinite dimensional vector space
• On measurability of real-valued functions in infinite-dimensional topological vector spaces
• On non locally convex spaces. II
• "Lebesgue Measure" on R ∞
• “Lebesgue measure” on ℝ^{∞}, II
• On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
• Invariant Measures in Groups Which are not Locally Compact
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