Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On projections of finitely additive measures
HTML articles powered by AMS MathViewer

by Thomas Jech and Karel Prikry PDF
Proc. Amer. Math. Soc. 74 (1979), 161-165 Request permission

Abstract:

A theorem of Z. Frolík and M. E. Rudin states that for every two-valued measure $\mu$ on N, if $F:N \to N$ is such that ${F_ \ast }(\mu ) = \mu$ then $F(x) = x$ for almost all x. We prove that a generalization of this theorem fails for measures in general: Theorem. There exist a translation invariant measure $\mu$ on N and a function $F:N \to N$ such that ${F_ \ast }(\mu ) = \mu$, and if $A \subseteq N$ is such that F is one-to-one on A, then $\mu (A) \leqslant \tfrac {1}{2}$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28A12, 54H10
  • Retrieve articles in all journals with MSC: 28A12, 54H10
Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 74 (1979), 161-165
  • MSC: Primary 28A12; Secondary 54H10
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0521891-9
  • MathSciNet review: 521891