The Steinhaus-Weil Property: IV. Other Interior-Point Properties

Nicholas H.  Bingham; Adam J.  Ostaszewski

doi:10.5644/SJM.18.02.02

The Steinhaus-Weil Property: IV. Other Interior-Point Properties

Authors

Nicholas H. Bingham Mathematics Department Imperial College London SW7 2AZ
Adam J. Ostaszewski Mathematics Department London School of Economics Houghton Street London WC2A 2AE

DOI:

https://doi.org/10.5644/SJM.18.02.02

Keywords:

Steinhaus-Weil property, Cameron-Martin space, Borell’s theorem, reﬁnement topology, Haar density topology, quasi-invariance

Abstract

ABSTRACT. In this the ﬁnal part of the four-part series [BinO3; 4,5,6] on theorems of Steinhaus-Weil type, as a companion piece to Part III, [BinO6], on Weil-type reﬁnement topologies, we study from the perspective of reﬁnement topologies the relation of the composite AB^-1 to the classical setting of the AA^-1Steinhaus interior-point theorem.

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Published

16.01.2024

How to Cite

Bingham, N. H. ., & Ostaszewski, A. J. . (2024). The Steinhaus-Weil Property: IV. Other Interior-Point Properties. Sarajevo Journal of Mathematics, 18(2), 203–210. https://doi.org/10.5644/SJM.18.02.02