A note on cancellation law for p-convex sets

Kinga Kolczyńska-Przybycień; Hubert Przybycień

doi:10.53733/26

A note on cancellation law for p-convex sets

Authors

Kinga Kolczyńska-Przybycień
Hubert Przybycień

DOI:

https://doi.org/10.53733/26

Keywords:

convex sets, p-convex sets, Minkowski addition of sets

Abstract

In this note we generalize a result of R. Urbański which states that for subsets A,B,C of topological vector space X the following implication holds $A+B\subset B+C \Longrightarrow A\subset C$ provided that B is bounded and C closed and convex.

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Author Biographies

Kinga Kolczyńska-Przybycień

SP 93,

Ul. Umultowska 114,

61-614 Poznań,

Poland

Hubert Przybycień

Faculty of Mathematics and Computer Science,

Ul. Umultowska 87,

61-614 Poznań,

Poland

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Published

31-12-2019

How to Cite

Kolczyńska-Przybycień, K., & Przybycień, H. (2019). A note on cancellation law for p-convex sets. New Zealand Journal of Mathematics, 49, 11–13. https://doi.org/10.53733/26