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arXiv · 2609.07438

The answer about Itzkowitz's Problems on FSIN groups

Dekui Peng·Li-Hong Xie·Jiang Yang
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Abstract

A topological group is functionally balanced if every bounded real-valued left uniformly continuous function is right uniformly continuous. We prove that every Hausdorff functionally balanced group has coinciding left and right uniformities, giving an affirmative answer to the Itzkowitz problem. Consequently, the classes of SIN, SFSIN and FSIN groups coincide.

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Dekui Peng, Li-Hong Xie, Jiang Yang. 2026-09-07. The answer about Itzkowitz's Problems on FSIN groups. https://arxiv.org/abs/2609.07438

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