Convergence for Sequences of Functions and an Egorov Type Theorem |
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| Authors: | Papanastassiou N. Kiriakouli P. |
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| Affiliation: | (1) Department of Mathematics, University of Athens, 15784 Athens, Greece;(2) Sogdianis 6, 15771 Athens, Greece |
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| Abstract: | For every ordinal  < 1 we define a new type of convergence for sequences of functions (-uniform pointwise) which is intermediate between uniform and pointwise convergence. Using this type of convergence we obtain an Egorov type theorem for sequences of measurable functions. |
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