Displaying similar documents to “Theorems of Korovkin type for adapted spaces”

Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps

K. Kumar, M. N. N. Namboodiri, S. Serra-Capizzano (2013)

Studia Mathematica

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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...