Generalizations of the uniform convergence
M. Przemski (1991)
Matematički Vesnik
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M. Przemski (1991)
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Brace, John W. (1961)
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Altomare, Francesco, Diomede, Sabrina (2003)
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Ewert, Janina (1997)
International Journal of Mathematics and Mathematical Sciences
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Pavel Kostyrko (1981)
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Edwin Wagner (1967)
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Irena Domnik (2003)
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K. Kumar, M. N. N. Namboodiri, S. Serra-Capizzano (2013)
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The classical as well as noncommutative Korovkin-type theorems deal with the convergence of positive linear maps with respect to different modes of convergence, like norm or weak operator convergence etc. In this article, new versions of Korovkin-type theorems are proved using the notions of convergence induced by strong, weak and uniform eigenvalue clustering of matrix sequences with growing order. Such modes of convergence were originally considered for the special case of Toeplitz...