A theorem connected with results of Steinhaus and Smítal
type: Item
instance of: scholarly article
title: A theorem connected with results of Steinhaus and Smítal
zbMATH Open document ID: 0638.28001
DOI: 10.1016/0022-247X(87)90021-7
author: Harry I. Miller
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The following generalization of earlier results is proved: If A and B are subsets of the line, each having positive outer Lebesgue measure, then the set \(A+B\) of all numbers \(a+b\) with \(a\in A\) and \(b\in B\), has the full outer Lebesgue measure in an interval.
Mathematics Subject Classification ID: 28A05
zbMATH DE Number: 4040211
zbMATH Keywords: Steinhaus' theorem
zbMATH Keywords: Smítal's lemma
zbMATH Keywords: full outer Lebesgue measure
reviewed by: Jaroslav Smítal
MaRDI profile type: Publication
cites work: Q5594720
cites work: Q3712520
cites work: On measures connected with the Cauchy equation
cites work: Q5817554
cites work: Q3996430
cites work: Verallgemeinerungen eines Satzes von H. Steinhaus
description: scientific article; zbMATH DE number 4040211