Korovkin theory for cone-valued functions
| Autor: | Walter Roth |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
General Mathematics 010102 general mathematics Hausdorff space 010103 numerical & computational mathematics Operator theory Equicontinuity 01 natural sciences Measure (mathematics) Potential theory Theoretical Computer Science Cone (topology) Radon measure Locally compact space 0101 mathematics Analysis Mathematics |
| Zdroj: | Positivity. 21:449-472 |
| ISSN: | 1572-9281 1385-1292 |
| DOI: | 10.1007/s11117-016-0429-x |
| Popis: | We consider ordered cones of continuous cone-valued functions on a locally compact Hausdorff space, endowed with appropriate locally convex topologies. Using suitable sets of such functions as test systems a Korovkin type approximation theorem for equicontinuous nets of positive operators is established. As in the classical theory, convergence is characterized both through envelopes for functions and through measure theoretical conditions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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