Abstract
It is shown that, for any nonzero σ-finite translation invariant (translation quasi-invariant) measure μ on the real line R, the cardinality of the family of all translation invariant (translation quasi-invariant) measures on R extending μ is greater than or equal to 2ω1, where ω1 denotes the first uncountable cardinal number. Some related results are also considered.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Transactions of A. Razmadze Mathematical Institute
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
