Regularity of 𝑅(𝑋) does not pass to finite unions-Reference-Cited by-同舟云学术

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Regularity of 𝑅(𝑋) does not pass to finite unions

Published:2020-03-18 Issue:7 Volume:148 Page:2931-2936
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Feinstein J.

Abstract

We show that there are compact plane sets X X , Y Y such that R ( X ) R(X) and R ( Y ) R(Y) are regular but R ( X ∪ Y ) R(X \cup Y) is not regular.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/earlyview/#proc14944/.pdf

Reference12 articles.

1. London Mathematical Society Monographs. New Series;Dales, H. G.,2000

2. Trivial Jensen measures without regularity;Feinstein, J. F.;Studia Math.,2001

3. Quasianalyticity in certain Banach function algebras;Feinstein, J. F.;Studia Math.,2017

4. Abstract Swiss cheese space and classicalisation of Swiss cheeses;Feinstein, J. F.;J. Math. Anal. Appl.,2016

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