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arXiv · 2601.00283

On automatic continuity of operators from ordered to topological vector spaces

Eduard Emelyanov·Svetlana Gorokhova
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Abstract

We study continuity and boundedness of order-to-topology bounded and order-to topology continuous operators from ordered to topological vector spaces. Several results on automatic continuity of operators from ordered Frechet spaces to topological vector spaces are included. Levi and Lebesgue operators especially are investigated.

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Eduard Emelyanov, Svetlana Gorokhova. 2026-01-01. On automatic continuity of operators from ordered to topological vector spaces. https://arxiv.org/abs/2601.00283

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