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Korovkin-Type Results on Convergence of Sequences of Positive Linear Maps on Function Spaces
Constructive Approximation ( IF 2.7 ) Pub Date : 2019-11-05 , DOI: 10.1007/s00365-019-09485-y Maliheh Hosseini , Juan J. Font
Constructive Approximation ( IF 2.7 ) Pub Date : 2019-11-05 , DOI: 10.1007/s00365-019-09485-y Maliheh Hosseini , Juan J. Font
In this paper we deal with the convergence of sequences of positive linear maps to a (not assumed to be linear) isometry on spaces of continuous functions. We obtain generalizations of known Korovkin-type results and provide several illustrative examples.
中文翻译:
函数空间上正线性映射序列收敛的 Korovkin 型结果
在本文中,我们处理正线性映射序列在连续函数空间上收敛到(不假设为线性的)等距。我们获得了已知 Korovkin 类型结果的概括,并提供了几个说明性示例。
更新日期:2019-11-05
中文翻译:
函数空间上正线性映射序列收敛的 Korovkin 型结果
在本文中,我们处理正线性映射序列在连续函数空间上收敛到(不假设为线性的)等距。我们获得了已知 Korovkin 类型结果的概括,并提供了几个说明性示例。