The Steinhaus-Weil Property: II. The Simmons-Mospan Converse

Authors

  • Nicholas H. Bingham
  • Adam J. Ostaszewski

Keywords:

Steinhaus-Weil property, amenability at 1, measure subcontinuity, Simmons-Mospan theorem, Weil topology, interior-points property, Haar measure, Lebesgue decomposition, left Haar null, selective measure, Cameron-Martin space

Abstract

In this second part of a four-part series (with Parts I, III, IV referring to [BinO4,5,6]), we develop (via Propositions 1, 2 and Theorems 1, 2) a number of relatives of the Simmons-Mospan theorem, a converse to the Steinhaus-Weil theorem (for another, see [BinO1], and for yet others [BinO3, §8.5]). In Part III [BinO5, Theorems 1, 2], we link this with topologies of Weil type.

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Published

04.03.2022

How to Cite

Bingham, N. H. ., & Ostaszewski, A. J. . (2022). The Steinhaus-Weil Property: II. The Simmons-Mospan Converse. Sarajevo Journal of Mathematics, 16(2), 179–186. Retrieved from https://sjm.anubih.ba/index.php/sjm/article/view/24

Issue

Vol. 16 No. 2 (2020)

Section

Articles