Korovkin Type Theorem for Sequences of Operators Depending on a Parameter
We establish necessary and sufficient conditions for a parameter depending sequence (Ln,λ)n≥1 of positive linear operators such that (Ln,λ)n≥1 converges in the strong operator topology to its limit operator. Some applications of our theorem are also presented.
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-09-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0027/dema-2015-0027.xml?format=INT |