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http://hdl.handle.net/20.500.12128/13025| Title: | On orthogonally additive injections and surjections |
| Authors: | Baron, Karol |
| Keywords: | orthogonal additivity; inner product space; Tychonoff topology; dense set; linear topological space |
| Issue Date: | 2015 |
| Citation: | Commentationes Mathematicae, Vol. 55, no. 2 (2015), s. 157-162 |
| Abstract: | Let E be a real inner product space of dimension at least 2 and V a linear topological Hausdorff space. If card E≤card V, then the set of all orthogonally additive injections mapping E into V is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology. If cardV≤card E, then the set of all orthogonally additive surjections mapping E into V is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology. |
| URI: | http://hdl.handle.net/20.500.12128/13025 |
| ISSN: | 2080-1211 |
| Appears in Collections: | Artykuły (WNŚiT) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Baron_On_orthogonally_additive_injections.pdf | 962,78 kB | Adobe PDF | View/Open |
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