On Ptak's generalization of the open-mapping and closed-graph theorems (Q1101921)
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scientific article; zbMATH DE number 4048362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Ptak's generalization of the open-mapping and closed-graph theorems |
scientific article; zbMATH DE number 4048362 |
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On Ptak's generalization of the open-mapping and closed-graph theorems (English)
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1988
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This paper begins with an analysis of the open-mapping theorem which is similar to that given by Pták. However, the author takes a rather different direction than Pták did and this leads him to new, very natural generalizations of both the open-mapping and the closed-graph theorems. Two new classes of linear maps are defined in this paper and a study of these mappings lead to some new corollaries to certain well- known results of Dieudonné and Schwartz.
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open-mapping theorem
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closed-graph theorems
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0.89577883
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0.89356166
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