The conjecture of Ulam on the invariance of measure on Hilbert cube

DOI10.1016/j.jmaa.2019.123500zbMath1475.28013arXiv1807.05624OpenAlexW2972949737WikidataQ123186220 ScholiaQ123186220MaRDI QIDQ2326024

Jung, Soon-Mo, Eui Chul Kim

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications, Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05624

zbMATH Keywords

invariant measuresHilbert cubeconjecture of Ulaminvariance of measureproduct probability measure

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (5)

On a relationship between the Hausdorff measure and the density of the thinnest covering of \(\mathbb{R}^n\) ⋮ Corrigendum to: ``The conjecture of Ulam on the invariance of measure on Hilbert cube ⋮ The conjecture of Ulam on the invariance of measure on Hilbert cube ⋮ Corrigendum to “On the conjecture of Ulam on the invariance of measure in the Hilbert cube” (Colloq. Math. 152 (2018), 79–95) ⋮ Extension of isometries in real Hilbert spaces

Cites Work

• The conjecture of Ulam on the invariance of measure on Hilbert cube
• Remarks on invariant measures in metric spaces
• A conjecture of Ulam on the invariance of measures in Gilbert's cube
• Approximate isometries on bounded sets with an application to measure theory
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