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arxiv: 1711.06817 · v4 · pith:3K2F3T7Dnew · submitted 2017-11-18 · 🪐 quant-ph

A Unified Convergence Theorem

classification 🪐 quant-ph
keywords convergenceantosik-mikusinskiequivalenttheoremtheoremsunifiedfamousforms
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We prove a unified convergence theorem, which presents in four equivalent forms of the famous Antosik-Mikusinski Theorems. In particular, we show that Swartz' three uniform convergence principles are all equivalent to the Antosik-Mikusinski Theorems.

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