Ideal version of Egorov's theorem for analytic P-ideals |
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| Authors: | Nikodem Mro?ek |
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| Affiliation: | Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland |
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| Abstract: | We introduce the notion of equi-ideal convergence and use it to prove an ideal variant of Egorov's theorem. We also show that this variant usually cannot be strengthen to a direct analogue of Egorov's theorem. |
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| Keywords: | Egorov's theorem Convergence of functions Ideal convergence Analytic ideals P-ideals |
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