We investigate some properties of almost convergence and Single convergence, and compare them with other kinds of convergence, in particular, we show that these convergences are substantially different from ideal convergence. Moreover, we present different modes of continuity considering almost, Single and ideal convergence, giving some relations between them and several examples. Finally, we pose some open problems.
Modes of continuity involving almost and ideal convergence
BOCCUTO, Antonio;
2012
Abstract
We investigate some properties of almost convergence and Single convergence, and compare them with other kinds of convergence, in particular, we show that these convergences are substantially different from ideal convergence. Moreover, we present different modes of continuity considering almost, Single and ideal convergence, giving some relations between them and several examples. Finally, we pose some open problems.File in questo prodotto:
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