Abstract
A Nikodym boundedness-type theorem with necessary and sufficient conditions for a family of functions defined on a σ(⊕)-difference-poset and with values in a uniform space is proved. For a special important case — orthomodular lattice-the conditions are relaxed.
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de Lucia, P., Pap, E. Noncommutative version of Nikodym boundedness theorem for uniform space-valued functions. Int J Theor Phys 34, 981–993 (1995). https://doi.org/10.1007/BF00671362
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DOI: https://doi.org/10.1007/BF00671362